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Finding the Fourth Proportional to 20,663.47, 30,998.69 and 8,176.91

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Solution

The fourth proportional to 20,663.47, 30,998.69 and 8,176.91 is: 12,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,663.47 : 30,998.69 = 8,176.91 : x
  2. Step 2: Convert to fraction form
    20,663.47/30,998.69 = 8,176.91/x
  3. Step 3: Cross multiply
    20,663.47x = 30,998.69 × 8,176.91
  4. Step 4: Simplify right side
    20,663.47x = 253,473,498.25
  5. Step 5: Solve for x
    x = 253,473,498.25/20,663.47
  6. Step 6: Final answer
    x = 12,266.74

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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.