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Finding the Fourth Proportional to 17,702.22, 24,431.40 and 11,432.82

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Solution

The fourth proportional to 17,702.22, 24,431.40 and 11,432.82 is: 15,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.22 : 24,431.40 = 11,432.82 : x
  2. Step 2: Convert to fraction form
    17,702.22/24,431.40 = 11,432.82/x
  3. Step 3: Cross multiply
    17,702.22x = 24,431.40 × 11,432.82
  4. Step 4: Simplify right side
    17,702.22x = 279,319,798.55
  5. Step 5: Solve for x
    x = 279,319,798.55/17,702.22
  6. Step 6: Final answer
    x = 15,778.80

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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.