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Finding the Fourth Proportional to 25,713.83, 38,464.11 and 24,139.19

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Solution

The fourth proportional to 25,713.83, 38,464.11 and 24,139.19 is: 36,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.83 : 38,464.11 = 24,139.19 : x
  2. Step 2: Convert to fraction form
    25,713.83/38,464.11 = 24,139.19/x
  3. Step 3: Cross multiply
    25,713.83x = 38,464.11 × 24,139.19
  4. Step 4: Simplify right side
    25,713.83x = 928,492,459.47
  5. Step 5: Solve for x
    x = 928,492,459.47/25,713.83
  6. Step 6: Final answer
    x = 36,108.68

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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.