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Finding the Fourth Proportional to 24,884.31, 34,340.35 and 13,706.31

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Solution

The fourth proportional to 24,884.31, 34,340.35 and 13,706.31 is: 18,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,884.31 : 34,340.35 = 13,706.31 : x
  2. Step 2: Convert to fraction form
    24,884.31/34,340.35 = 13,706.31/x
  3. Step 3: Cross multiply
    24,884.31x = 34,340.35 × 13,706.31
  4. Step 4: Simplify right side
    24,884.31x = 470,679,482.61
  5. Step 5: Solve for x
    x = 470,679,482.61/24,884.31
  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.