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Finding the Fourth Proportional to 12,332, 18,494.52 and 4,010.24

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Solution

The fourth proportional to 12,332, 18,494.52 and 4,010.24 is: 6,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332 : 18,494.52 = 4,010.24 : x
  2. Step 2: Convert to fraction form
    12,332/18,494.52 = 4,010.24/x
  3. Step 3: Cross multiply
    12,332x = 18,494.52 × 4,010.24
  4. Step 4: Simplify right side
    12,332x = 74,167,463.88
  5. Step 5: Solve for x
    x = 74,167,463.88/12,332
  6. Step 6: Final answer
    x = 6,014.23

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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.