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Finding the Fourth Proportional to 24,265.52, 36,403.75 and 9,478.67

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Solution

The fourth proportional to 24,265.52, 36,403.75 and 9,478.67 is: 14,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,265.52 : 36,403.75 = 9,478.67 : x
  2. Step 2: Convert to fraction form
    24,265.52/36,403.75 = 9,478.67/x
  3. Step 3: Cross multiply
    24,265.52x = 36,403.75 × 9,478.67
  4. Step 4: Simplify right side
    24,265.52x = 345,059,194.27
  5. Step 5: Solve for x
    x = 345,059,194.27/24,265.52
  6. Step 6: Final answer
    x = 14,220.14

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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.