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Finding the Fourth Proportional to 23,132.26, 34,702.74 and 9,282.34

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Solution

The fourth proportional to 23,132.26, 34,702.74 and 9,282.34 is: 13,925.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132.26 : 34,702.74 = 9,282.34 : x
  2. Step 2: Convert to fraction form
    23,132.26/34,702.74 = 9,282.34/x
  3. Step 3: Cross multiply
    23,132.26x = 34,702.74 × 9,282.34
  4. Step 4: Simplify right side
    23,132.26x = 322,122,631.61
  5. Step 5: Solve for x
    x = 322,122,631.61/23,132.26
  6. Step 6: Final answer
    x = 13,925.26

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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.