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Finding the Fourth Proportional to 24,395.73, 36,594 and 6,865.98

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Solution

The fourth proportional to 24,395.73, 36,594 and 6,865.98 is: 10,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,395.73 : 36,594 = 6,865.98 : x
  2. Step 2: Convert to fraction form
    24,395.73/36,594 = 6,865.98/x
  3. Step 3: Cross multiply
    24,395.73x = 36,594 × 6,865.98
  4. Step 4: Simplify right side
    24,395.73x = 251,253,672.12
  5. Step 5: Solve for x
    x = 251,253,672.12/24,395.73
  6. Step 6: Final answer
    x = 10,299.08

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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.