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Finding the Fourth Proportional to 19,920, 29,880.54 and 6,069

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Solution

The fourth proportional to 19,920, 29,880.54 and 6,069 is: 9,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920 : 29,880.54 = 6,069 : x
  2. Step 2: Convert to fraction form
    19,920/29,880.54 = 6,069/x
  3. Step 3: Cross multiply
    19,920x = 29,880.54 × 6,069
  4. Step 4: Simplify right side
    19,920x = 181,344,997.26
  5. Step 5: Solve for x
    x = 181,344,997.26/19,920
  6. Step 6: Final answer
    x = 9,103.66

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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.