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Finding the Fourth Proportional to 24,060.50, 36,094.14 and 7,421.88

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Solution

The fourth proportional to 24,060.50, 36,094.14 and 7,421.88 is: 11,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,060.50 : 36,094.14 = 7,421.88 : x
  2. Step 2: Convert to fraction form
    24,060.50/36,094.14 = 7,421.88/x
  3. Step 3: Cross multiply
    24,060.50x = 36,094.14 × 7,421.88
  4. Step 4: Simplify right side
    24,060.50x = 267,886,375.78
  5. Step 5: Solve for x
    x = 267,886,375.78/24,060.50
  6. Step 6: Final answer
    x = 11,133.87

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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.