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Finding the Fourth Proportional to 24,139.64, 33,314 and 13,532.68

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Solution

The fourth proportional to 24,139.64, 33,314 and 13,532.68 is: 18,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,139.64 : 33,314 = 13,532.68 : x
  2. Step 2: Convert to fraction form
    24,139.64/33,314 = 13,532.68/x
  3. Step 3: Cross multiply
    24,139.64x = 33,314 × 13,532.68
  4. Step 4: Simplify right side
    24,139.64x = 450,827,701.52
  5. Step 5: Solve for x
    x = 450,827,701.52/24,139.64
  6. Step 6: Final answer
    x = 18,675.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.