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Finding the Fourth Proportional to 12,603.22, 17,391.44 and 7,298.38

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Solution

The fourth proportional to 12,603.22, 17,391.44 and 7,298.38 is: 10,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.22 : 17,391.44 = 7,298.38 : x
  2. Step 2: Convert to fraction form
    12,603.22/17,391.44 = 7,298.38/x
  3. Step 3: Cross multiply
    12,603.22x = 17,391.44 × 7,298.38
  4. Step 4: Simplify right side
    12,603.22x = 126,929,337.87
  5. Step 5: Solve for x
    x = 126,929,337.87/12,603.22
  6. Step 6: Final answer
    x = 10,071.18

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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.