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Finding the Fourth Proportional to 19,862.74, 29,797.35 and 6,008.50

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Solution

The fourth proportional to 19,862.74, 29,797.35 and 6,008.50 is: 9,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.74 : 29,797.35 = 6,008.50 : x
  2. Step 2: Convert to fraction form
    19,862.74/29,797.35 = 6,008.50/x
  3. Step 3: Cross multiply
    19,862.74x = 29,797.35 × 6,008.50
  4. Step 4: Simplify right side
    19,862.74x = 179,037,377.48
  5. Step 5: Solve for x
    x = 179,037,377.48/19,862.74
  6. Step 6: Final answer
    x = 9,013.73

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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.