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Finding the Fourth Proportional to 25,642.24, 35,387.28 and 14,464

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Solution

The fourth proportional to 25,642.24, 35,387.28 and 14,464 is: 19,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.24 : 35,387.28 = 14,464 : x
  2. Step 2: Convert to fraction form
    25,642.24/35,387.28 = 14,464/x
  3. Step 3: Cross multiply
    25,642.24x = 35,387.28 × 14,464
  4. Step 4: Simplify right side
    25,642.24x = 511,841,617.92
  5. Step 5: Solve for x
    x = 511,841,617.92/25,642.24
  6. Step 6: Final answer
    x = 19,960.88

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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.