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Finding the Fourth Proportional to 15,174.76, 22,769.18 and 6,411.72

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Solution

The fourth proportional to 15,174.76, 22,769.18 and 6,411.72 is: 9,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.76 : 22,769.18 = 6,411.72 : x
  2. Step 2: Convert to fraction form
    15,174.76/22,769.18 = 6,411.72/x
  3. Step 3: Cross multiply
    15,174.76x = 22,769.18 × 6,411.72
  4. Step 4: Simplify right side
    15,174.76x = 145,989,606.79
  5. Step 5: Solve for x
    x = 145,989,606.79/15,174.76
  6. Step 6: Final answer
    x = 9,620.55

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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.