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Finding the Fourth Proportional to 17,252.42, 25,878.64 and 5,565.66

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Solution

The fourth proportional to 17,252.42, 25,878.64 and 5,565.66 is: 8,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,252.42 : 25,878.64 = 5,565.66 : x
  2. Step 2: Convert to fraction form
    17,252.42/25,878.64 = 5,565.66/x
  3. Step 3: Cross multiply
    17,252.42x = 25,878.64 × 5,565.66
  4. Step 4: Simplify right side
    17,252.42x = 144,031,711.50
  5. Step 5: Solve for x
    x = 144,031,711.50/17,252.42
  6. Step 6: Final answer
    x = 8,348.49

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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.