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Finding the Fourth Proportional to 25,642.71, 35,386.43 and 14,464.71

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Solution

The fourth proportional to 25,642.71, 35,386.43 and 14,464.71 is: 19,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.71 : 35,386.43 = 14,464.71 : x
  2. Step 2: Convert to fraction form
    25,642.71/35,386.43 = 14,464.71/x
  3. Step 3: Cross multiply
    25,642.71x = 35,386.43 × 14,464.71
  4. Step 4: Simplify right side
    25,642.71x = 511,854,375.56
  5. Step 5: Solve for x
    x = 511,854,375.56/25,642.71
  6. Step 6: Final answer
    x = 19,961.01

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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.