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Finding the Fourth Proportional to 23,135.76, 34,710.12 and 9,294.48

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Solution

The fourth proportional to 23,135.76, 34,710.12 and 9,294.48 is: 13,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,135.76 : 34,710.12 = 9,294.48 : x
  2. Step 2: Convert to fraction form
    23,135.76/34,710.12 = 9,294.48/x
  3. Step 3: Cross multiply
    23,135.76x = 34,710.12 × 9,294.48
  4. Step 4: Simplify right side
    23,135.76x = 322,612,516.14
  5. Step 5: Solve for x
    x = 322,612,516.14/23,135.76
  6. Step 6: Final answer
    x = 13,944.32

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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.