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Finding the Fourth Proportional to 20,776.13, 31,164.24 and 8,297.17

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Solution

The fourth proportional to 20,776.13, 31,164.24 and 8,297.17 is: 12,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.13 : 31,164.24 = 8,297.17 : x
  2. Step 2: Convert to fraction form
    20,776.13/31,164.24 = 8,297.17/x
  3. Step 3: Cross multiply
    20,776.13x = 31,164.24 × 8,297.17
  4. Step 4: Simplify right side
    20,776.13x = 258,574,950.40
  5. Step 5: Solve for x
    x = 258,574,950.40/20,776.13
  6. Step 6: Final answer
    x = 12,445.77

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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.