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Finding the Fourth Proportional to 15,150.78, 20,908.02 and 8,436.49

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Solution

The fourth proportional to 15,150.78, 20,908.02 and 8,436.49 is: 11,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,150.78 : 20,908.02 = 8,436.49 : x
  2. Step 2: Convert to fraction form
    15,150.78/20,908.02 = 8,436.49/x
  3. Step 3: Cross multiply
    15,150.78x = 20,908.02 × 8,436.49
  4. Step 4: Simplify right side
    15,150.78x = 176,390,281.02
  5. Step 5: Solve for x
    x = 176,390,281.02/15,150.78
  6. Step 6: Final answer
    x = 11,642.32

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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.