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Finding the Fourth Proportional to 22,512.72, 31,068.68 and 12,442.32

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Solution

The fourth proportional to 22,512.72, 31,068.68 and 12,442.32 is: 17,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512.72 : 31,068.68 = 12,442.32 : x
  2. Step 2: Convert to fraction form
    22,512.72/31,068.68 = 12,442.32/x
  3. Step 3: Cross multiply
    22,512.72x = 31,068.68 × 12,442.32
  4. Step 4: Simplify right side
    22,512.72x = 386,566,458.54
  5. Step 5: Solve for x
    x = 386,566,458.54/22,512.72
  6. Step 6: Final answer
    x = 17,171.02

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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.