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Finding the Fourth Proportional to 24,884.47, 34,340.57 and 13,706.47

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Solution

The fourth proportional to 24,884.47, 34,340.57 and 13,706.47 is: 18,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,884.47 : 34,340.57 = 13,706.47 : x
  2. Step 2: Convert to fraction form
    24,884.47/34,340.57 = 13,706.47/x
  3. Step 3: Cross multiply
    24,884.47x = 34,340.57 × 13,706.47
  4. Step 4: Simplify right side
    24,884.47x = 470,687,992.49
  5. Step 5: Solve for x
    x = 470,687,992.49/24,884.47
  6. Step 6: Final answer
    x = 18,914.93

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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.