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Finding the Fourth Proportional to 20,854.89, 31,262.90 and 10,454.49

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Solution

The fourth proportional to 20,854.89, 31,262.90 and 10,454.49 is: 15,671.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.89 : 31,262.90 = 10,454.49 : x
  2. Step 2: Convert to fraction form
    20,854.89/31,262.90 = 10,454.49/x
  3. Step 3: Cross multiply
    20,854.89x = 31,262.90 × 10,454.49
  4. Step 4: Simplify right side
    20,854.89x = 326,837,623.15
  5. Step 5: Solve for x
    x = 326,837,623.15/20,854.89
  6. Step 6: Final answer
    x = 15,671.99

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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.