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Finding the Fourth Proportional to 16,685.92, 23,024.30 and 9,970.13

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Solution

The fourth proportional to 16,685.92, 23,024.30 and 9,970.13 is: 13,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,685.92 : 23,024.30 = 9,970.13 : x
  2. Step 2: Convert to fraction form
    16,685.92/23,024.30 = 9,970.13/x
  3. Step 3: Cross multiply
    16,685.92x = 23,024.30 × 9,970.13
  4. Step 4: Simplify right side
    16,685.92x = 229,555,222.92
  5. Step 5: Solve for x
    x = 229,555,222.92/16,685.92
  6. Step 6: Final answer
    x = 13,757.42

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