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Finding the Fourth Proportional to 25,712.80, 38,540.40 and 14,624.80

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Solution

The fourth proportional to 25,712.80, 38,540.40 and 14,624.80 is: 21,920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.80 : 38,540.40 = 14,624.80 : x
  2. Step 2: Convert to fraction form
    25,712.80/38,540.40 = 14,624.80/x
  3. Step 3: Cross multiply
    25,712.80x = 38,540.40 × 14,624.80
  4. Step 4: Simplify right side
    25,712.80x = 563,645,641.92
  5. Step 5: Solve for x
    x = 563,645,641.92/25,712.80
  6. Step 6: Final answer
    x = 21,920.82

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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.