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Finding the Fourth Proportional to 24,381.68, 36,573.78 and 7,743.02

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Solution

The fourth proportional to 24,381.68, 36,573.78 and 7,743.02 is: 11,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.68 : 36,573.78 = 7,743.02 : x
  2. Step 2: Convert to fraction form
    24,381.68/36,573.78 = 7,743.02/x
  3. Step 3: Cross multiply
    24,381.68x = 36,573.78 × 7,743.02
  4. Step 4: Simplify right side
    24,381.68x = 283,191,510.02
  5. Step 5: Solve for x
    x = 283,191,510.02/24,381.68
  6. Step 6: Final answer
    x = 11,614.93

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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.