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Finding the Fourth Proportional to 13,642.38, 18,823.65 and 7,976.02

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Solution

The fourth proportional to 13,642.38, 18,823.65 and 7,976.02 is: 11,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.38 : 18,823.65 = 7,976.02 : x
  2. Step 2: Convert to fraction form
    13,642.38/18,823.65 = 7,976.02/x
  3. Step 3: Cross multiply
    13,642.38x = 18,823.65 × 7,976.02
  4. Step 4: Simplify right side
    13,642.38x = 150,137,823.28
  5. Step 5: Solve for x
    x = 150,137,823.28/13,642.38
  6. Step 6: Final answer
    x = 11,005.25

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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.