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Finding the Fourth Proportional to 23,201.48, 34,806.18 and 9,154.17

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Solution

The fourth proportional to 23,201.48, 34,806.18 and 9,154.17 is: 13,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.48 : 34,806.18 = 9,154.17 : x
  2. Step 2: Convert to fraction form
    23,201.48/34,806.18 = 9,154.17/x
  3. Step 3: Cross multiply
    23,201.48x = 34,806.18 × 9,154.17
  4. Step 4: Simplify right side
    23,201.48x = 318,621,688.77
  5. Step 5: Solve for x
    x = 318,621,688.77/23,201.48
  6. Step 6: Final answer
    x = 13,732.82

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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.