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Finding the Fourth Proportional to 19,909.12, 29,863.68 and 6,058

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Solution

The fourth proportional to 19,909.12, 29,863.68 and 6,058 is: 9,087

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.12 : 29,863.68 = 6,058 : x
  2. Step 2: Convert to fraction form
    19,909.12/29,863.68 = 6,058/x
  3. Step 3: Cross multiply
    19,909.12x = 29,863.68 × 6,058
  4. Step 4: Simplify right side
    19,909.12x = 180,914,173.44
  5. Step 5: Solve for x
    x = 180,914,173.44/19,909.12
  6. Step 6: Final answer
    x = 9,087

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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.