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Finding the Fourth Proportional to 12,862.50, 19,293.71 and 4,098.12

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Solution

The fourth proportional to 12,862.50, 19,293.71 and 4,098.12 is: 6,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.50 : 19,293.71 = 4,098.12 : x
  2. Step 2: Convert to fraction form
    12,862.50/19,293.71 = 4,098.12/x
  3. Step 3: Cross multiply
    12,862.50x = 19,293.71 × 4,098.12
  4. Step 4: Simplify right side
    12,862.50x = 79,067,918.33
  5. Step 5: Solve for x
    x = 79,067,918.33/12,862.50
  6. Step 6: Final answer
    x = 6,147.17

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Why These Related Problems?

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