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Finding the Fourth Proportional to 16,685.80, 23,024.13 and 9,970

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Solution

The fourth proportional to 16,685.80, 23,024.13 and 9,970 is: 13,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,685.80 : 23,024.13 = 9,970 : x
  2. Step 2: Convert to fraction form
    16,685.80/23,024.13 = 9,970/x
  3. Step 3: Cross multiply
    16,685.80x = 23,024.13 × 9,970
  4. Step 4: Simplify right side
    16,685.80x = 229,550,576.10
  5. Step 5: Solve for x
    x = 229,550,576.10/16,685.80
  6. Step 6: Final answer
    x = 13,757.24

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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.