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Finding the Fourth Proportional to 24,403.68, 36,592.40 and 7,759.20

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Solution

The fourth proportional to 24,403.68, 36,592.40 and 7,759.20 is: 11,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,403.68 : 36,592.40 = 7,759.20 : x
  2. Step 2: Convert to fraction form
    24,403.68/36,592.40 = 7,759.20/x
  3. Step 3: Cross multiply
    24,403.68x = 36,592.40 × 7,759.20
  4. Step 4: Simplify right side
    24,403.68x = 283,927,750.08
  5. Step 5: Solve for x
    x = 283,927,750.08/24,403.68
  6. Step 6: Final answer
    x = 11,634.63

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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.