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Finding the Fourth Proportional to 25,500.10, 38,217.84 and 14,413

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Solution

The fourth proportional to 25,500.10, 38,217.84 and 14,413 is: 21,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,500.10 : 38,217.84 = 14,413 : x
  2. Step 2: Convert to fraction form
    25,500.10/38,217.84 = 14,413/x
  3. Step 3: Cross multiply
    25,500.10x = 38,217.84 × 14,413
  4. Step 4: Simplify right side
    25,500.10x = 550,833,727.92
  5. Step 5: Solve for x
    x = 550,833,727.92/25,500.10
  6. Step 6: Final answer
    x = 21,601.24

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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.