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Finding the Fourth Proportional to 12,417, 17,139.11 and 7,384.79

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Solution

The fourth proportional to 12,417, 17,139.11 and 7,384.79 is: 10,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417 : 17,139.11 = 7,384.79 : x
  2. Step 2: Convert to fraction form
    12,417/17,139.11 = 7,384.79/x
  3. Step 3: Cross multiply
    12,417x = 17,139.11 × 7,384.79
  4. Step 4: Simplify right side
    12,417x = 126,568,605.52
  5. Step 5: Solve for x
    x = 126,568,605.52/12,417
  6. Step 6: Final answer
    x = 10,193.17

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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.