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Finding the Fourth Proportional to 19,878.89, 29,818.19 and 6,027.89

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Solution

The fourth proportional to 19,878.89, 29,818.19 and 6,027.89 is: 9,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.89 : 29,818.19 = 6,027.89 : x
  2. Step 2: Convert to fraction form
    19,878.89/29,818.19 = 6,027.89/x
  3. Step 3: Cross multiply
    19,878.89x = 29,818.19 × 6,027.89
  4. Step 4: Simplify right side
    19,878.89x = 179,740,635.30
  5. Step 5: Solve for x
    x = 179,740,635.30/19,878.89
  6. Step 6: Final answer
    x = 9,041.79

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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.