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Finding the Fourth Proportional to 15,161.18, 22,763.04 and 7,770.94

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Solution

The fourth proportional to 15,161.18, 22,763.04 and 7,770.94 is: 11,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,161.18 : 22,763.04 = 7,770.94 : x
  2. Step 2: Convert to fraction form
    15,161.18/22,763.04 = 7,770.94/x
  3. Step 3: Cross multiply
    15,161.18x = 22,763.04 × 7,770.94
  4. Step 4: Simplify right side
    15,161.18x = 176,890,218.06
  5. Step 5: Solve for x
    x = 176,890,218.06/15,161.18
  6. Step 6: Final answer
    x = 11,667.31

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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.