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Finding the Fourth Proportional to 21,034.53, 31,542.55 and 7,877.67

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Solution

The fourth proportional to 21,034.53, 31,542.55 and 7,877.67 is: 11,813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.53 : 31,542.55 = 7,877.67 : x
  2. Step 2: Convert to fraction form
    21,034.53/31,542.55 = 7,877.67/x
  3. Step 3: Cross multiply
    21,034.53x = 31,542.55 × 7,877.67
  4. Step 4: Simplify right side
    21,034.53x = 248,481,799.86
  5. Step 5: Solve for x
    x = 248,481,799.86/21,034.53
  6. Step 6: Final answer
    x = 11,813.04

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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.