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Finding the Fourth Proportional to 25,149.56, 34,706.14 and 13,664.72

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Solution

The fourth proportional to 25,149.56, 34,706.14 and 13,664.72 is: 18,857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,149.56 : 34,706.14 = 13,664.72 : x
  2. Step 2: Convert to fraction form
    25,149.56/34,706.14 = 13,664.72/x
  3. Step 3: Cross multiply
    25,149.56x = 34,706.14 × 13,664.72
  4. Step 4: Simplify right side
    25,149.56x = 474,249,685.38
  5. Step 5: Solve for x
    x = 474,249,685.38/25,149.56
  6. Step 6: Final answer
    x = 18,857.18

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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.