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Finding the Fourth Proportional to 12,381.89, 18,572.83 and 5,356.15

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Solution

The fourth proportional to 12,381.89, 18,572.83 and 5,356.15 is: 8,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.89 : 18,572.83 = 5,356.15 : x
  2. Step 2: Convert to fraction form
    12,381.89/18,572.83 = 5,356.15/x
  3. Step 3: Cross multiply
    12,381.89x = 18,572.83 × 5,356.15
  4. Step 4: Simplify right side
    12,381.89x = 99,478,803.58
  5. Step 5: Solve for x
    x = 99,478,803.58/12,381.89
  6. Step 6: Final answer
    x = 8,034.22

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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.