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Finding the Fourth Proportional to 23,132.16, 34,702.08 and 9,285.12

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Solution

The fourth proportional to 23,132.16, 34,702.08 and 9,285.12 is: 13,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132.16 : 34,702.08 = 9,285.12 : x
  2. Step 2: Convert to fraction form
    23,132.16/34,702.08 = 9,285.12/x
  3. Step 3: Cross multiply
    23,132.16x = 34,702.08 × 9,285.12
  4. Step 4: Simplify right side
    23,132.16x = 322,212,977.05
  5. Step 5: Solve for x
    x = 322,212,977.05/23,132.16
  6. Step 6: Final answer
    x = 13,929.22

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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.