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Finding the Fourth Proportional to 25,144.61, 34,700.17 and 13,814.84

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Solution

The fourth proportional to 25,144.61, 34,700.17 and 13,814.84 is: 19,064.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,144.61 : 34,700.17 = 13,814.84 : x
  2. Step 2: Convert to fraction form
    25,144.61/34,700.17 = 13,814.84/x
  3. Step 3: Cross multiply
    25,144.61x = 34,700.17 × 13,814.84
  4. Step 4: Simplify right side
    25,144.61x = 479,377,179.45
  5. Step 5: Solve for x
    x = 479,377,179.45/25,144.61
  6. Step 6: Final answer
    x = 19,064.81

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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.