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Finding the Fourth Proportional to 15,175.69, 22,763.54 and 4,788.25

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Solution

The fourth proportional to 15,175.69, 22,763.54 and 4,788.25 is: 7,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.69 : 22,763.54 = 4,788.25 : x
  2. Step 2: Convert to fraction form
    15,175.69/22,763.54 = 4,788.25/x
  3. Step 3: Cross multiply
    15,175.69x = 22,763.54 × 4,788.25
  4. Step 4: Simplify right side
    15,175.69x = 108,997,496.46
  5. Step 5: Solve for x
    x = 108,997,496.46/15,175.69
  6. Step 6: Final answer
    x = 7,182.38

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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.