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Finding the Fourth Proportional to 16,889, 25,333.52 and 4,577

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Solution

The fourth proportional to 16,889, 25,333.52 and 4,577 is: 6,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,889 : 25,333.52 = 4,577 : x
  2. Step 2: Convert to fraction form
    16,889/25,333.52 = 4,577/x
  3. Step 3: Cross multiply
    16,889x = 25,333.52 × 4,577
  4. Step 4: Simplify right side
    16,889x = 115,951,521.04
  5. Step 5: Solve for x
    x = 115,951,521.04/16,889
  6. Step 6: Final answer
    x = 6,865.51

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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.