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Finding the Fourth Proportional to 16,657.79, 22,988.64 and 9,585.29

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Solution

The fourth proportional to 16,657.79, 22,988.64 and 9,585.29 is: 13,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.79 : 22,988.64 = 9,585.29 : x
  2. Step 2: Convert to fraction form
    16,657.79/22,988.64 = 9,585.29/x
  3. Step 3: Cross multiply
    16,657.79x = 22,988.64 × 9,585.29
  4. Step 4: Simplify right side
    16,657.79x = 220,352,781.11
  5. Step 5: Solve for x
    x = 220,352,781.11/16,657.79
  6. Step 6: Final answer
    x = 13,228.21

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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.