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Finding the Fourth Proportional to 23,432.84, 35,149.17 and 9,399.14

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Solution

The fourth proportional to 23,432.84, 35,149.17 and 9,399.14 is: 14,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,432.84 : 35,149.17 = 9,399.14 : x
  2. Step 2: Convert to fraction form
    23,432.84/35,149.17 = 9,399.14/x
  3. Step 3: Cross multiply
    23,432.84x = 35,149.17 × 9,399.14
  4. Step 4: Simplify right side
    23,432.84x = 330,371,969.71
  5. Step 5: Solve for x
    x = 330,371,969.71/23,432.84
  6. Step 6: Final answer
    x = 14,098.67

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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.