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Finding the Fourth Proportional to 15,178.50, 22,767.71 and 11,674.76

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Solution

The fourth proportional to 15,178.50, 22,767.71 and 11,674.76 is: 17,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.50 : 22,767.71 = 11,674.76 : x
  2. Step 2: Convert to fraction form
    15,178.50/22,767.71 = 11,674.76/x
  3. Step 3: Cross multiply
    15,178.50x = 22,767.71 × 11,674.76
  4. Step 4: Simplify right side
    15,178.50x = 265,807,377.79
  5. Step 5: Solve for x
    x = 265,807,377.79/15,178.50
  6. Step 6: Final answer
    x = 17,512.10

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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.