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Finding the Fourth Proportional to 25,154.31, 34,713.87 and 13,825.08

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Solution

The fourth proportional to 25,154.31, 34,713.87 and 13,825.08 is: 19,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,154.31 : 34,713.87 = 13,825.08 : x
  2. Step 2: Convert to fraction form
    25,154.31/34,713.87 = 13,825.08/x
  3. Step 3: Cross multiply
    25,154.31x = 34,713.87 × 13,825.08
  4. Step 4: Simplify right side
    25,154.31x = 479,922,029.86
  5. Step 5: Solve for x
    x = 479,922,029.86/25,154.31
  6. Step 6: Final answer
    x = 19,079.12

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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.