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Finding the Fourth Proportional to 16,804, 23,189.52 and 9,353.76

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Solution

The fourth proportional to 16,804, 23,189.52 and 9,353.76 is: 12,908.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804 : 23,189.52 = 9,353.76 : x
  2. Step 2: Convert to fraction form
    16,804/23,189.52 = 9,353.76/x
  3. Step 3: Cross multiply
    16,804x = 23,189.52 × 9,353.76
  4. Step 4: Simplify right side
    16,804x = 216,909,204.60
  5. Step 5: Solve for x
    x = 216,909,204.60/16,804
  6. Step 6: Final answer
    x = 12,908.19

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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.