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Finding the Fourth Proportional to 20,642.04, 30,963.06 and 8,955

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Solution

The fourth proportional to 20,642.04, 30,963.06 and 8,955 is: 13,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.04 : 30,963.06 = 8,955 : x
  2. Step 2: Convert to fraction form
    20,642.04/30,963.06 = 8,955/x
  3. Step 3: Cross multiply
    20,642.04x = 30,963.06 × 8,955
  4. Step 4: Simplify right side
    20,642.04x = 277,274,202.30
  5. Step 5: Solve for x
    x = 277,274,202.30/20,642.04
  6. Step 6: Final answer
    x = 13,432.50

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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.