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Finding the Fourth Proportional to 25,419.60, 38,129.04 and 9,826.20

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Solution

The fourth proportional to 25,419.60, 38,129.04 and 9,826.20 is: 14,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,419.60 : 38,129.04 = 9,826.20 : x
  2. Step 2: Convert to fraction form
    25,419.60/38,129.04 = 9,826.20/x
  3. Step 3: Cross multiply
    25,419.60x = 38,129.04 × 9,826.20
  4. Step 4: Simplify right side
    25,419.60x = 374,663,572.85
  5. Step 5: Solve for x
    x = 374,663,572.85/25,419.60
  6. Step 6: Final answer
    x = 14,739.16

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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.