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Finding the Fourth Proportional to 24,705.18, 34,092.81 and 13,527.18

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Solution

The fourth proportional to 24,705.18, 34,092.81 and 13,527.18 is: 18,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.18 : 34,092.81 = 13,527.18 : x
  2. Step 2: Convert to fraction form
    24,705.18/34,092.81 = 13,527.18/x
  3. Step 3: Cross multiply
    24,705.18x = 34,092.81 × 13,527.18
  4. Step 4: Simplify right side
    24,705.18x = 461,179,577.58
  5. Step 5: Solve for x
    x = 461,179,577.58/24,705.18
  6. Step 6: Final answer
    x = 18,667.32

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Why These Related Problems?

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