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Finding the Fourth Proportional to 16,498.71, 22,772.16 and 9,429.24

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Solution

The fourth proportional to 16,498.71, 22,772.16 and 9,429.24 is: 13,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.71 : 22,772.16 = 9,429.24 : x
  2. Step 2: Convert to fraction form
    16,498.71/22,772.16 = 9,429.24/x
  3. Step 3: Cross multiply
    16,498.71x = 22,772.16 × 9,429.24
  4. Step 4: Simplify right side
    16,498.71x = 214,724,161.96
  5. Step 5: Solve for x
    x = 214,724,161.96/16,498.71
  6. Step 6: Final answer
    x = 13,014.60

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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.