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Finding the Fourth Proportional to 12,332, 17,018.26 and 6,743

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Solution

The fourth proportional to 12,332, 17,018.26 and 6,743 is: 9,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332 : 17,018.26 = 6,743 : x
  2. Step 2: Convert to fraction form
    12,332/17,018.26 = 6,743/x
  3. Step 3: Cross multiply
    12,332x = 17,018.26 × 6,743
  4. Step 4: Simplify right side
    12,332x = 114,754,127.18
  5. Step 5: Solve for x
    x = 114,754,127.18/12,332
  6. Step 6: Final answer
    x = 9,305.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.