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Finding the Fourth Proportional to 25,641.20, 38,465.76 and 10,850.20

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Solution

The fourth proportional to 25,641.20, 38,465.76 and 10,850.20 is: 16,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641.20 : 38,465.76 = 10,850.20 : x
  2. Step 2: Convert to fraction form
    25,641.20/38,465.76 = 10,850.20/x
  3. Step 3: Cross multiply
    25,641.20x = 38,465.76 × 10,850.20
  4. Step 4: Simplify right side
    25,641.20x = 417,361,189.15
  5. Step 5: Solve for x
    x = 417,361,189.15/25,641.20
  6. Step 6: Final answer
    x = 16,276.98

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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.