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Finding the Fourth Proportional to 24,419.68, 36,631.68 and 13,321.60

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Solution

The fourth proportional to 24,419.68, 36,631.68 and 13,321.60 is: 19,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.68 : 36,631.68 = 13,321.60 : x
  2. Step 2: Convert to fraction form
    24,419.68/36,631.68 = 13,321.60/x
  3. Step 3: Cross multiply
    24,419.68x = 36,631.68 × 13,321.60
  4. Step 4: Simplify right side
    24,419.68x = 487,992,588.29
  5. Step 5: Solve for x
    x = 487,992,588.29/24,419.68
  6. Step 6: Final answer
    x = 19,983.58

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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.