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Finding the Fourth Proportional to 12,381.78, 18,570.62 and 4,588.76

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Solution

The fourth proportional to 12,381.78, 18,570.62 and 4,588.76 is: 6,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.78 : 18,570.62 = 4,588.76 : x
  2. Step 2: Convert to fraction form
    12,381.78/18,570.62 = 4,588.76/x
  3. Step 3: Cross multiply
    12,381.78x = 18,570.62 × 4,588.76
  4. Step 4: Simplify right side
    12,381.78x = 85,216,118.23
  5. Step 5: Solve for x
    x = 85,216,118.23/12,381.78
  6. Step 6: Final answer
    x = 6,882.38

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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.