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Finding the Fourth Proportional to 25,215.75, 34,786.06 and 16,266.14

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Solution

The fourth proportional to 25,215.75, 34,786.06 and 16,266.14 is: 22,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,215.75 : 34,786.06 = 16,266.14 : x
  2. Step 2: Convert to fraction form
    25,215.75/34,786.06 = 16,266.14/x
  3. Step 3: Cross multiply
    25,215.75x = 34,786.06 × 16,266.14
  4. Step 4: Simplify right side
    25,215.75x = 565,834,837.86
  5. Step 5: Solve for x
    x = 565,834,837.86/25,215.75
  6. Step 6: Final answer
    x = 22,439.74

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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.