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Finding the Fourth Proportional to 16,358.52, 22,573.74 and 9,287.16

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Solution

The fourth proportional to 16,358.52, 22,573.74 and 9,287.16 is: 12,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358.52 : 22,573.74 = 9,287.16 : x
  2. Step 2: Convert to fraction form
    16,358.52/22,573.74 = 9,287.16/x
  3. Step 3: Cross multiply
    16,358.52x = 22,573.74 × 9,287.16
  4. Step 4: Simplify right side
    16,358.52x = 209,645,935.18
  5. Step 5: Solve for x
    x = 209,645,935.18/16,358.52
  6. Step 6: Final answer
    x = 12,815.70

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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.