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Finding the Fourth Proportional to 20,875.96, 31,324.22 and 9,780.72

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Solution

The fourth proportional to 20,875.96, 31,324.22 and 9,780.72 is: 14,675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875.96 : 31,324.22 = 9,780.72 : x
  2. Step 2: Convert to fraction form
    20,875.96/31,324.22 = 9,780.72/x
  3. Step 3: Cross multiply
    20,875.96x = 31,324.22 × 9,780.72
  4. Step 4: Simplify right side
    20,875.96x = 306,373,425.04
  5. Step 5: Solve for x
    x = 306,373,425.04/20,875.96
  6. Step 6: Final answer
    x = 14,675.90

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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.