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Finding the Fourth Proportional to 25,670.42, 38,508.05 and 8,142.83

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Solution

The fourth proportional to 25,670.42, 38,508.05 and 8,142.83 is: 12,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670.42 : 38,508.05 = 8,142.83 : x
  2. Step 2: Convert to fraction form
    25,670.42/38,508.05 = 8,142.83/x
  3. Step 3: Cross multiply
    25,670.42x = 38,508.05 × 8,142.83
  4. Step 4: Simplify right side
    25,670.42x = 313,564,504.78
  5. Step 5: Solve for x
    x = 313,564,504.78/25,670.42
  6. Step 6: Final answer
    x = 12,215.01

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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.