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Finding the Fourth Proportional to 19,885, 29,827.68 and 6,034

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Solution

The fourth proportional to 19,885, 29,827.68 and 6,034 is: 9,051.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885 : 29,827.68 = 6,034 : x
  2. Step 2: Convert to fraction form
    19,885/29,827.68 = 6,034/x
  3. Step 3: Cross multiply
    19,885x = 29,827.68 × 6,034
  4. Step 4: Simplify right side
    19,885x = 179,980,221.12
  5. Step 5: Solve for x
    x = 179,980,221.12/19,885
  6. Step 6: Final answer
    x = 9,051.05

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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.