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Finding the Fourth Proportional to 15,166.88, 22,742.40 and 4,775.84

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Solution

The fourth proportional to 15,166.88, 22,742.40 and 4,775.84 is: 7,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166.88 : 22,742.40 = 4,775.84 : x
  2. Step 2: Convert to fraction form
    15,166.88/22,742.40 = 4,775.84/x
  3. Step 3: Cross multiply
    15,166.88x = 22,742.40 × 4,775.84
  4. Step 4: Simplify right side
    15,166.88x = 108,614,063.62
  5. Step 5: Solve for x
    x = 108,614,063.62/15,166.88
  6. Step 6: Final answer
    x = 7,161.27

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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.