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Finding the Fourth Proportional to 16,591.89, 22,896.02 and 9,038.19

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Solution

The fourth proportional to 16,591.89, 22,896.02 and 9,038.19 is: 12,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.89 : 22,896.02 = 9,038.19 : x
  2. Step 2: Convert to fraction form
    16,591.89/22,896.02 = 9,038.19/x
  3. Step 3: Cross multiply
    16,591.89x = 22,896.02 × 9,038.19
  4. Step 4: Simplify right side
    16,591.89x = 206,938,533.81
  5. Step 5: Solve for x
    x = 206,938,533.81/16,591.89
  6. Step 6: Final answer
    x = 12,472.27

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.