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Finding the Fourth Proportional to 17,920.99, 26,878.45 and 5,438

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Solution

The fourth proportional to 17,920.99, 26,878.45 and 5,438 is: 8,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.99 : 26,878.45 = 5,438 : x
  2. Step 2: Convert to fraction form
    17,920.99/26,878.45 = 5,438/x
  3. Step 3: Cross multiply
    17,920.99x = 26,878.45 × 5,438
  4. Step 4: Simplify right side
    17,920.99x = 146,165,011.10
  5. Step 5: Solve for x
    x = 146,165,011.10/17,920.99
  6. Step 6: Final answer
    x = 8,156.08

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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.