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Finding the Fourth Proportional to 24,308.60, 36,468.63 and 9,513.54

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Solution

The fourth proportional to 24,308.60, 36,468.63 and 9,513.54 is: 14,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,308.60 : 36,468.63 = 9,513.54 : x
  2. Step 2: Convert to fraction form
    24,308.60/36,468.63 = 9,513.54/x
  3. Step 3: Cross multiply
    24,308.60x = 36,468.63 × 9,513.54
  4. Step 4: Simplify right side
    24,308.60x = 346,945,770.25
  5. Step 5: Solve for x
    x = 346,945,770.25/24,308.60
  6. Step 6: Final answer
    x = 14,272.56

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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.