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Finding the Fourth Proportional to 12,689.91, 19,020.29 and 6,838.47

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Solution

The fourth proportional to 12,689.91, 19,020.29 and 6,838.47 is: 10,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.91 : 19,020.29 = 6,838.47 : x
  2. Step 2: Convert to fraction form
    12,689.91/19,020.29 = 6,838.47/x
  3. Step 3: Cross multiply
    12,689.91x = 19,020.29 × 6,838.47
  4. Step 4: Simplify right side
    12,689.91x = 130,069,648.36
  5. Step 5: Solve for x
    x = 130,069,648.36/12,689.91
  6. Step 6: Final answer
    x = 10,249.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.