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Finding the Fourth Proportional to 16,888.50, 25,337.61 and 5,201.42

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Solution

The fourth proportional to 16,888.50, 25,337.61 and 5,201.42 is: 7,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,888.50 : 25,337.61 = 5,201.42 : x
  2. Step 2: Convert to fraction form
    16,888.50/25,337.61 = 5,201.42/x
  3. Step 3: Cross multiply
    16,888.50x = 25,337.61 × 5,201.42
  4. Step 4: Simplify right side
    16,888.50x = 131,791,424.72
  5. Step 5: Solve for x
    x = 131,791,424.72/16,888.50
  6. Step 6: Final answer
    x = 7,803.62

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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.