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Finding the Fourth Proportional to 20,642.76, 31,000.50 and 15,379.20

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Solution

The fourth proportional to 20,642.76, 31,000.50 and 15,379.20 is: 23,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.76 : 31,000.50 = 15,379.20 : x
  2. Step 2: Convert to fraction form
    20,642.76/31,000.50 = 15,379.20/x
  3. Step 3: Cross multiply
    20,642.76x = 31,000.50 × 15,379.20
  4. Step 4: Simplify right side
    20,642.76x = 476,762,889.60
  5. Step 5: Solve for x
    x = 476,762,889.60/20,642.76
  6. Step 6: Final answer
    x = 23,095.89

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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.