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Finding the Fourth Proportional to 15,575.22, 23,342.78 and 5,702.74

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Solution

The fourth proportional to 15,575.22, 23,342.78 and 5,702.74 is: 8,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,575.22 : 23,342.78 = 5,702.74 : x
  2. Step 2: Convert to fraction form
    15,575.22/23,342.78 = 5,702.74/x
  3. Step 3: Cross multiply
    15,575.22x = 23,342.78 × 5,702.74
  4. Step 4: Simplify right side
    15,575.22x = 133,117,761.12
  5. Step 5: Solve for x
    x = 133,117,761.12/15,575.22
  6. Step 6: Final answer
    x = 8,546.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.