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Finding the Fourth Proportional to 24,884.32, 34,340.35 and 13,706.32

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Solution

The fourth proportional to 24,884.32, 34,340.35 and 13,706.32 is: 18,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,884.32 : 34,340.35 = 13,706.32 : x
  2. Step 2: Convert to fraction form
    24,884.32/34,340.35 = 13,706.32/x
  3. Step 3: Cross multiply
    24,884.32x = 34,340.35 × 13,706.32
  4. Step 4: Simplify right side
    24,884.32x = 470,679,654.31
  5. Step 5: Solve for x
    x = 470,679,654.31/24,884.32
  6. Step 6: Final answer
    x = 18,914.71

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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.