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Finding the Fourth Proportional to 16,304.16, 22,497.54 and 9,585.90

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Solution

The fourth proportional to 16,304.16, 22,497.54 and 9,585.90 is: 13,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.16 : 22,497.54 = 9,585.90 : x
  2. Step 2: Convert to fraction form
    16,304.16/22,497.54 = 9,585.90/x
  3. Step 3: Cross multiply
    16,304.16x = 22,497.54 × 9,585.90
  4. Step 4: Simplify right side
    16,304.16x = 215,659,168.69
  5. Step 5: Solve for x
    x = 215,659,168.69/16,304.16
  6. Step 6: Final answer
    x = 13,227.25

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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.