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Finding the Fourth Proportional to 25,685.37, 38,527.65 and 8,154.95

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Solution

The fourth proportional to 25,685.37, 38,527.65 and 8,154.95 is: 12,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685.37 : 38,527.65 = 8,154.95 : x
  2. Step 2: Convert to fraction form
    25,685.37/38,527.65 = 8,154.95/x
  3. Step 3: Cross multiply
    25,685.37x = 38,527.65 × 8,154.95
  4. Step 4: Simplify right side
    25,685.37x = 314,190,866.73
  5. Step 5: Solve for x
    x = 314,190,866.73/25,685.37
  6. Step 6: Final answer
    x = 12,232.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.