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Finding the Fourth Proportional to 12,633, 17,434.08 and 7,044

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Solution

The fourth proportional to 12,633, 17,434.08 and 7,044 is: 9,721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633 : 17,434.08 = 7,044 : x
  2. Step 2: Convert to fraction form
    12,633/17,434.08 = 7,044/x
  3. Step 3: Cross multiply
    12,633x = 17,434.08 × 7,044
  4. Step 4: Simplify right side
    12,633x = 122,805,659.52
  5. Step 5: Solve for x
    x = 122,805,659.52/12,633
  6. Step 6: Final answer
    x = 9,721.02

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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.