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Finding the Fourth Proportional to 25,838.80, 35,657.16 and 14,660.56

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Solution

The fourth proportional to 25,838.80, 35,657.16 and 14,660.56 is: 20,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.80 : 35,657.16 = 14,660.56 : x
  2. Step 2: Convert to fraction form
    25,838.80/35,657.16 = 14,660.56/x
  3. Step 3: Cross multiply
    25,838.80x = 35,657.16 × 14,660.56
  4. Step 4: Simplify right side
    25,838.80x = 522,753,933.61
  5. Step 5: Solve for x
    x = 522,753,933.61/25,838.80
  6. Step 6: Final answer
    x = 20,231.35

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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.