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Finding the Fourth Proportional to 25,814.70, 38,724.93 and 8,278.38

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Solution

The fourth proportional to 25,814.70, 38,724.93 and 8,278.38 is: 12,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814.70 : 38,724.93 = 8,278.38 : x
  2. Step 2: Convert to fraction form
    25,814.70/38,724.93 = 8,278.38/x
  3. Step 3: Cross multiply
    25,814.70x = 38,724.93 × 8,278.38
  4. Step 4: Simplify right side
    25,814.70x = 320,579,686.01
  5. Step 5: Solve for x
    x = 320,579,686.01/25,814.70
  6. Step 6: Final answer
    x = 12,418.49

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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.