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Finding the Fourth Proportional to 25,600.94, 38,401.40 and 8,072.13

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Solution

The fourth proportional to 25,600.94, 38,401.40 and 8,072.13 is: 12,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.94 : 38,401.40 = 8,072.13 : x
  2. Step 2: Convert to fraction form
    25,600.94/38,401.40 = 8,072.13/x
  3. Step 3: Cross multiply
    25,600.94x = 38,401.40 × 8,072.13
  4. Step 4: Simplify right side
    25,600.94x = 309,981,113.16
  5. Step 5: Solve for x
    x = 309,981,113.16/25,600.94
  6. Step 6: Final answer
    x = 12,108.20

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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.