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Finding the Fourth Proportional to 20,874.90, 31,315.80 and 10,345.41

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Solution

The fourth proportional to 20,874.90, 31,315.80 and 10,345.41 is: 15,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.90 : 31,315.80 = 10,345.41 : x
  2. Step 2: Convert to fraction form
    20,874.90/31,315.80 = 10,345.41/x
  3. Step 3: Cross multiply
    20,874.90x = 31,315.80 × 10,345.41
  4. Step 4: Simplify right side
    20,874.90x = 323,974,790.48
  5. Step 5: Solve for x
    x = 323,974,790.48/20,874.90
  6. Step 6: Final answer
    x = 15,519.82

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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.