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Finding the Fourth Proportional to 12,398, 17,109.76 and 7,366.56

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Solution

The fourth proportional to 12,398, 17,109.76 and 7,366.56 is: 10,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398 : 17,109.76 = 7,366.56 : x
  2. Step 2: Convert to fraction form
    12,398/17,109.76 = 7,366.56/x
  3. Step 3: Cross multiply
    12,398x = 17,109.76 × 7,366.56
  4. Step 4: Simplify right side
    12,398x = 126,040,073.63
  5. Step 5: Solve for x
    x = 126,040,073.63/12,398
  6. Step 6: Final answer
    x = 10,166.16

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