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Finding the Fourth Proportional to 25,162.71, 34,724.93 and 13,832.70

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Solution

The fourth proportional to 25,162.71, 34,724.93 and 13,832.70 is: 19,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,162.71 : 34,724.93 = 13,832.70 : x
  2. Step 2: Convert to fraction form
    25,162.71/34,724.93 = 13,832.70/x
  3. Step 3: Cross multiply
    25,162.71x = 34,724.93 × 13,832.70
  4. Step 4: Simplify right side
    25,162.71x = 480,339,539.21
  5. Step 5: Solve for x
    x = 480,339,539.21/25,162.71
  6. Step 6: Final answer
    x = 19,089.34

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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.