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Finding the Fourth Proportional to 16,694.53, 23,038.38 and 9,037.81

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Solution

The fourth proportional to 16,694.53, 23,038.38 and 9,037.81 is: 12,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,694.53 : 23,038.38 = 9,037.81 : x
  2. Step 2: Convert to fraction form
    16,694.53/23,038.38 = 9,037.81/x
  3. Step 3: Cross multiply
    16,694.53x = 23,038.38 × 9,037.81
  4. Step 4: Simplify right side
    16,694.53x = 208,216,501.15
  5. Step 5: Solve for x
    x = 208,216,501.15/16,694.53
  6. Step 6: Final answer
    x = 12,472.14

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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.