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Finding the Fourth Proportional to 24,399.88, 36,594.42 and 6,865

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Solution

The fourth proportional to 24,399.88, 36,594.42 and 6,865 is: 10,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399.88 : 36,594.42 = 6,865 : x
  2. Step 2: Convert to fraction form
    24,399.88/36,594.42 = 6,865/x
  3. Step 3: Cross multiply
    24,399.88x = 36,594.42 × 6,865
  4. Step 4: Simplify right side
    24,399.88x = 251,220,693.30
  5. Step 5: Solve for x
    x = 251,220,693.30/24,399.88
  6. Step 6: Final answer
    x = 10,295.98

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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.