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Finding the Fourth Proportional to 25,483.92, 38,211 and 9,883.32

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Solution

The fourth proportional to 25,483.92, 38,211 and 9,883.32 is: 14,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,483.92 : 38,211 = 9,883.32 : x
  2. Step 2: Convert to fraction form
    25,483.92/38,211 = 9,883.32/x
  3. Step 3: Cross multiply
    25,483.92x = 38,211 × 9,883.32
  4. Step 4: Simplify right side
    25,483.92x = 377,651,540.52
  5. Step 5: Solve for x
    x = 377,651,540.52/25,483.92
  6. Step 6: Final answer
    x = 14,819.21

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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.