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Finding the Fourth Proportional to 25,710.44, 38,557.40 and 8,176.16

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Solution

The fourth proportional to 25,710.44, 38,557.40 and 8,176.16 is: 12,261.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710.44 : 38,557.40 = 8,176.16 : x
  2. Step 2: Convert to fraction form
    25,710.44/38,557.40 = 8,176.16/x
  3. Step 3: Cross multiply
    25,710.44x = 38,557.40 × 8,176.16
  4. Step 4: Simplify right side
    25,710.44x = 315,251,527.10
  5. Step 5: Solve for x
    x = 315,251,527.10/25,710.44
  6. Step 6: Final answer
    x = 12,261.62

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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.