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Finding the Fourth Proportional to 24,708, 34,097.12 and 13,530.08

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Solution

The fourth proportional to 24,708, 34,097.12 and 13,530.08 is: 18,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708 : 34,097.12 = 13,530.08 : x
  2. Step 2: Convert to fraction form
    24,708/34,097.12 = 13,530.08/x
  3. Step 3: Cross multiply
    24,708x = 34,097.12 × 13,530.08
  4. Step 4: Simplify right side
    24,708x = 461,336,761.37
  5. Step 5: Solve for x
    x = 461,336,761.37/24,708
  6. Step 6: Final answer
    x = 18,671.55

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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.