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Finding the Fourth Proportional to 22,796.04, 34,193.86 and 8,001.50

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Solution

The fourth proportional to 22,796.04, 34,193.86 and 8,001.50 is: 12,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.04 : 34,193.86 = 8,001.50 : x
  2. Step 2: Convert to fraction form
    22,796.04/34,193.86 = 8,001.50/x
  3. Step 3: Cross multiply
    22,796.04x = 34,193.86 × 8,001.50
  4. Step 4: Simplify right side
    22,796.04x = 273,602,170.79
  5. Step 5: Solve for x
    x = 273,602,170.79/22,796.04
  6. Step 6: Final answer
    x = 12,002.18

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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.