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Finding the Fourth Proportional to 25,465.28, 35,141.90 and 14,134.38

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Solution

The fourth proportional to 25,465.28, 35,141.90 and 14,134.38 is: 19,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.28 : 35,141.90 = 14,134.38 : x
  2. Step 2: Convert to fraction form
    25,465.28/35,141.90 = 14,134.38/x
  3. Step 3: Cross multiply
    25,465.28x = 35,141.90 × 14,134.38
  4. Step 4: Simplify right side
    25,465.28x = 496,708,897.85
  5. Step 5: Solve for x
    x = 496,708,897.85/25,465.28
  6. Step 6: Final answer
    x = 19,505.34

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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.