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Finding the Fourth Proportional to 38,382.84, 57,590.94 and 13,440.78

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Solution

The fourth proportional to 38,382.84, 57,590.94 and 13,440.78 is: 20,167.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.84 : 57,590.94 = 13,440.78 : x
  2. Step 2: Convert to fraction form
    38,382.84/57,590.94 = 13,440.78/x
  3. Step 3: Cross multiply
    38,382.84x = 57,590.94 × 13,440.78
  4. Step 4: Simplify right side
    38,382.84x = 774,067,154.53
  5. Step 5: Solve for x
    x = 774,067,154.53/38,382.84
  6. Step 6: Final answer
    x = 20,167.01

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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.