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Finding the Fourth Proportional to 38,411.87, 57,578.22 and 14,712.95

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Solution

The fourth proportional to 38,411.87, 57,578.22 and 14,712.95 is: 22,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,411.87 : 57,578.22 = 14,712.95 : x
  2. Step 2: Convert to fraction form
    38,411.87/57,578.22 = 14,712.95/x
  3. Step 3: Cross multiply
    38,411.87x = 57,578.22 × 14,712.95
  4. Step 4: Simplify right side
    38,411.87x = 847,145,471.95
  5. Step 5: Solve for x
    x = 847,145,471.95/38,411.87
  6. Step 6: Final answer
    x = 22,054.26

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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.