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Finding the Fourth Proportional to 19,884, 29,826.18 and 6,033

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Solution

The fourth proportional to 19,884, 29,826.18 and 6,033 is: 9,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884 : 29,826.18 = 6,033 : x
  2. Step 2: Convert to fraction form
    19,884/29,826.18 = 6,033/x
  3. Step 3: Cross multiply
    19,884x = 29,826.18 × 6,033
  4. Step 4: Simplify right side
    19,884x = 179,941,343.94
  5. Step 5: Solve for x
    x = 179,941,343.94/19,884
  6. Step 6: Final answer
    x = 9,049.55

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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.