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Finding the Fourth Proportional to 24,392.40, 36,586.68 and 6,862.80

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Solution

The fourth proportional to 24,392.40, 36,586.68 and 6,862.80 is: 10,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.40 : 36,586.68 = 6,862.80 : x
  2. Step 2: Convert to fraction form
    24,392.40/36,586.68 = 6,862.80/x
  3. Step 3: Cross multiply
    24,392.40x = 36,586.68 × 6,862.80
  4. Step 4: Simplify right side
    24,392.40x = 251,087,067.50
  5. Step 5: Solve for x
    x = 251,087,067.50/24,392.40
  6. Step 6: Final answer
    x = 10,293.66

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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.