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Finding the Fourth Proportional to 12,838.56, 17,718.80 and 7,249.52

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Solution

The fourth proportional to 12,838.56, 17,718.80 and 7,249.52 is: 10,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.56 : 17,718.80 = 7,249.52 : x
  2. Step 2: Convert to fraction form
    12,838.56/17,718.80 = 7,249.52/x
  3. Step 3: Cross multiply
    12,838.56x = 17,718.80 × 7,249.52
  4. Step 4: Simplify right side
    12,838.56x = 128,452,794.98
  5. Step 5: Solve for x
    x = 128,452,794.98/12,838.56
  6. Step 6: Final answer
    x = 10,005.23

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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.