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Finding the Fourth Proportional to 12,679.24, 17,496 and 7,373.74

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Solution

The fourth proportional to 12,679.24, 17,496 and 7,373.74 is: 10,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.24 : 17,496 = 7,373.74 : x
  2. Step 2: Convert to fraction form
    12,679.24/17,496 = 7,373.74/x
  3. Step 3: Cross multiply
    12,679.24x = 17,496 × 7,373.74
  4. Step 4: Simplify right side
    12,679.24x = 129,010,955.04
  5. Step 5: Solve for x
    x = 129,010,955.04/12,679.24
  6. Step 6: Final answer
    x = 10,174.98

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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.