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Finding the Fourth Proportional to 25,713.18, 35,488 and 16,282.62

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Solution

The fourth proportional to 25,713.18, 35,488 and 16,282.62 is: 22,472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.18 : 35,488 = 16,282.62 : x
  2. Step 2: Convert to fraction form
    25,713.18/35,488 = 16,282.62/x
  3. Step 3: Cross multiply
    25,713.18x = 35,488 × 16,282.62
  4. Step 4: Simplify right side
    25,713.18x = 577,837,618.56
  5. Step 5: Solve for x
    x = 577,837,618.56/25,713.18
  6. Step 6: Final answer
    x = 22,472.43

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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.