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Finding the Fourth Proportional to 25,489.12, 35,174.70 and 14,158.72

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Solution

The fourth proportional to 25,489.12, 35,174.70 and 14,158.72 is: 19,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,489.12 : 35,174.70 = 14,158.72 : x
  2. Step 2: Convert to fraction form
    25,489.12/35,174.70 = 14,158.72/x
  3. Step 3: Cross multiply
    25,489.12x = 35,174.70 × 14,158.72
  4. Step 4: Simplify right side
    25,489.12x = 498,028,728.38
  5. Step 5: Solve for x
    x = 498,028,728.38/25,489.12
  6. Step 6: Final answer
    x = 19,538.87

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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.