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Finding the Fourth Proportional to 16,585.41, 22,888.28 and 9,032.16

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Solution

The fourth proportional to 16,585.41, 22,888.28 and 9,032.16 is: 12,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.41 : 22,888.28 = 9,032.16 : x
  2. Step 2: Convert to fraction form
    16,585.41/22,888.28 = 9,032.16/x
  3. Step 3: Cross multiply
    16,585.41x = 22,888.28 × 9,032.16
  4. Step 4: Simplify right side
    16,585.41x = 206,730,607.08
  5. Step 5: Solve for x
    x = 206,730,607.08/16,585.41
  6. Step 6: Final answer
    x = 12,464.61

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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.