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Finding the Fourth Proportional to 12,869.69, 17,760.97 and 7,492.24

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Solution

The fourth proportional to 12,869.69, 17,760.97 and 7,492.24 is: 10,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.69 : 17,760.97 = 7,492.24 : x
  2. Step 2: Convert to fraction form
    12,869.69/17,760.97 = 7,492.24/x
  3. Step 3: Cross multiply
    12,869.69x = 17,760.97 × 7,492.24
  4. Step 4: Simplify right side
    12,869.69x = 133,069,323.61
  5. Step 5: Solve for x
    x = 133,069,323.61/12,869.69
  6. Step 6: Final answer
    x = 10,339.75

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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.