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Finding the Fourth Proportional to 12,262.55, 18,394 and 3,497.46

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Solution

The fourth proportional to 12,262.55, 18,394 and 3,497.46 is: 5,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.55 : 18,394 = 3,497.46 : x
  2. Step 2: Convert to fraction form
    12,262.55/18,394 = 3,497.46/x
  3. Step 3: Cross multiply
    12,262.55x = 18,394 × 3,497.46
  4. Step 4: Simplify right side
    12,262.55x = 64,332,279.24
  5. Step 5: Solve for x
    x = 64,332,279.24/12,262.55
  6. Step 6: Final answer
    x = 5,246.24

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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.