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Finding the Fourth Proportional to 12,332, 18,496.64 and 3,098

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Solution

The fourth proportional to 12,332, 18,496.64 and 3,098 is: 4,646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332 : 18,496.64 = 3,098 : x
  2. Step 2: Convert to fraction form
    12,332/18,496.64 = 3,098/x
  3. Step 3: Cross multiply
    12,332x = 18,496.64 × 3,098
  4. Step 4: Simplify right side
    12,332x = 57,302,590.72
  5. Step 5: Solve for x
    x = 57,302,590.72/12,332
  6. Step 6: Final answer
    x = 4,646.66

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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.