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Finding the Fourth Proportional to 25,380.76, 38,060.65 and 9,583.11

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Solution

The fourth proportional to 25,380.76, 38,060.65 and 9,583.11 is: 14,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,380.76 : 38,060.65 = 9,583.11 : x
  2. Step 2: Convert to fraction form
    25,380.76/38,060.65 = 9,583.11/x
  3. Step 3: Cross multiply
    25,380.76x = 38,060.65 × 9,583.11
  4. Step 4: Simplify right side
    25,380.76x = 364,739,407.60
  5. Step 5: Solve for x
    x = 364,739,407.60/25,380.76
  6. Step 6: Final answer
    x = 14,370.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.