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Finding the Fourth Proportional to 16,668, 25,001.16 and 5,575.84

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Solution

The fourth proportional to 16,668, 25,001.16 and 5,575.84 is: 8,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,668 : 25,001.16 = 5,575.84 : x
  2. Step 2: Convert to fraction form
    16,668/25,001.16 = 5,575.84/x
  3. Step 3: Cross multiply
    16,668x = 25,001.16 × 5,575.84
  4. Step 4: Simplify right side
    16,668x = 139,402,467.97
  5. Step 5: Solve for x
    x = 139,402,467.97/16,668
  6. Step 6: Final answer
    x = 8,363.48

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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.