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Finding the Fourth Proportional to 25,591.97, 35,318.00 and 14,261.47

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Solution

The fourth proportional to 25,591.97, 35,318.00 and 14,261.47 is: 19,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,591.97 : 35,318.00 = 14,261.47 : x
  2. Step 2: Convert to fraction form
    25,591.97/35,318.00 = 14,261.47/x
  3. Step 3: Cross multiply
    25,591.97x = 35,318.00 × 14,261.47
  4. Step 4: Simplify right side
    25,591.97x = 503,686,349.56
  5. Step 5: Solve for x
    x = 503,686,349.56/25,591.97
  6. Step 6: Final answer
    x = 19,681.43

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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.