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Finding the Fourth Proportional to 20,776.68, 31,147.67 and 9,677.66

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Solution

The fourth proportional to 20,776.68, 31,147.67 and 9,677.66 is: 14,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.68 : 31,147.67 = 9,677.66 : x
  2. Step 2: Convert to fraction form
    20,776.68/31,147.67 = 9,677.66/x
  3. Step 3: Cross multiply
    20,776.68x = 31,147.67 × 9,677.66
  4. Step 4: Simplify right side
    20,776.68x = 301,436,428.51
  5. Step 5: Solve for x
    x = 301,436,428.51/20,776.68
  6. Step 6: Final answer
    x = 14,508.40

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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.