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Finding the Fourth Proportional to 20,886.98, 31,337.49 and 7,740.41

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Solution

The fourth proportional to 20,886.98, 31,337.49 and 7,740.41 is: 11,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.98 : 31,337.49 = 7,740.41 : x
  2. Step 2: Convert to fraction form
    20,886.98/31,337.49 = 7,740.41/x
  3. Step 3: Cross multiply
    20,886.98x = 31,337.49 × 7,740.41
  4. Step 4: Simplify right side
    20,886.98x = 242,565,020.97
  5. Step 5: Solve for x
    x = 242,565,020.97/20,886.98
  6. Step 6: Final answer
    x = 11,613.22

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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.