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Finding the Fourth Proportional to 12,281.34, 18,422.14 and 9,831.73

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Solution

The fourth proportional to 12,281.34, 18,422.14 and 9,831.73 is: 14,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.34 : 18,422.14 = 9,831.73 : x
  2. Step 2: Convert to fraction form
    12,281.34/18,422.14 = 9,831.73/x
  3. Step 3: Cross multiply
    12,281.34x = 18,422.14 × 9,831.73
  4. Step 4: Simplify right side
    12,281.34x = 181,121,506.50
  5. Step 5: Solve for x
    x = 181,121,506.50/12,281.34
  6. Step 6: Final answer
    x = 14,747.70

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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.