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Finding the Fourth Proportional to 38,384.60, 57,565.28 and 13,419.99

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Solution

The fourth proportional to 38,384.60, 57,565.28 and 13,419.99 is: 20,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,384.60 : 57,565.28 = 13,419.99 : x
  2. Step 2: Convert to fraction form
    38,384.60/57,565.28 = 13,419.99/x
  3. Step 3: Cross multiply
    38,384.60x = 57,565.28 × 13,419.99
  4. Step 4: Simplify right side
    38,384.60x = 772,525,414.85
  5. Step 5: Solve for x
    x = 772,525,414.85/38,384.60
  6. Step 6: Final answer
    x = 20,125.92

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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.