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Finding the Fourth Proportional to 17,219.92, 25,830.15 and 5,374

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Solution

The fourth proportional to 17,219.92, 25,830.15 and 5,374 is: 8,061.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219.92 : 25,830.15 = 5,374 : x
  2. Step 2: Convert to fraction form
    17,219.92/25,830.15 = 5,374/x
  3. Step 3: Cross multiply
    17,219.92x = 25,830.15 × 5,374
  4. Step 4: Simplify right side
    17,219.92x = 138,811,226.10
  5. Step 5: Solve for x
    x = 138,811,226.10/17,219.92
  6. Step 6: Final answer
    x = 8,061.08

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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.