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Finding the Fourth Proportional to 20,710.74, 31,065.96 and 12,393.06

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Solution

The fourth proportional to 20,710.74, 31,065.96 and 12,393.06 is: 18,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.74 : 31,065.96 = 12,393.06 : x
  2. Step 2: Convert to fraction form
    20,710.74/31,065.96 = 12,393.06/x
  3. Step 3: Cross multiply
    20,710.74x = 31,065.96 × 12,393.06
  4. Step 4: Simplify right side
    20,710.74x = 385,002,306.24
  5. Step 5: Solve for x
    x = 385,002,306.24/20,710.74
  6. Step 6: Final answer
    x = 18,589.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.