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Finding the Fourth Proportional to 15,151, 20,908.38 and 8,527

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Solution

The fourth proportional to 15,151, 20,908.38 and 8,527 is: 11,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151 : 20,908.38 = 8,527 : x
  2. Step 2: Convert to fraction form
    15,151/20,908.38 = 8,527/x
  3. Step 3: Cross multiply
    15,151x = 20,908.38 × 8,527
  4. Step 4: Simplify right side
    15,151x = 178,285,756.26
  5. Step 5: Solve for x
    x = 178,285,756.26/15,151
  6. Step 6: Final answer
    x = 11,767.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.