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Finding the Fourth Proportional to 22,810.13, 31,474.14 and 12,738.20

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Solution

The fourth proportional to 22,810.13, 31,474.14 and 12,738.20 is: 17,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.13 : 31,474.14 = 12,738.20 : x
  2. Step 2: Convert to fraction form
    22,810.13/31,474.14 = 12,738.20/x
  3. Step 3: Cross multiply
    22,810.13x = 31,474.14 × 12,738.20
  4. Step 4: Simplify right side
    22,810.13x = 400,923,890.15
  5. Step 5: Solve for x
    x = 400,923,890.15/22,810.13
  6. Step 6: Final answer
    x = 17,576.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.