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Finding the Fourth Proportional to 23,152.51, 34,712.82 and 9,114.15

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Solution

The fourth proportional to 23,152.51, 34,712.82 and 9,114.15 is: 13,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.51 : 34,712.82 = 9,114.15 : x
  2. Step 2: Convert to fraction form
    23,152.51/34,712.82 = 9,114.15/x
  3. Step 3: Cross multiply
    23,152.51x = 34,712.82 × 9,114.15
  4. Step 4: Simplify right side
    23,152.51x = 316,377,866.90
  5. Step 5: Solve for x
    x = 316,377,866.90/23,152.51
  6. Step 6: Final answer
    x = 13,664.95

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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.