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Finding the Fourth Proportional to 19,886, 29,829.18 and 6,035

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Solution

The fourth proportional to 19,886, 29,829.18 and 6,035 is: 9,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886 : 29,829.18 = 6,035 : x
  2. Step 2: Convert to fraction form
    19,886/29,829.18 = 6,035/x
  3. Step 3: Cross multiply
    19,886x = 29,829.18 × 6,035
  4. Step 4: Simplify right side
    19,886x = 180,019,101.30
  5. Step 5: Solve for x
    x = 180,019,101.30/19,886
  6. Step 6: Final answer
    x = 9,052.55

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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.