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Finding the Fourth Proportional to 22,800.19, 34,203.70 and 8,006.50

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Solution

The fourth proportional to 22,800.19, 34,203.70 and 8,006.50 is: 12,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800.19 : 34,203.70 = 8,006.50 : x
  2. Step 2: Convert to fraction form
    22,800.19/34,203.70 = 8,006.50/x
  3. Step 3: Cross multiply
    22,800.19x = 34,203.70 × 8,006.50
  4. Step 4: Simplify right side
    22,800.19x = 273,851,976.81
  5. Step 5: Solve for x
    x = 273,851,976.81/22,800.19
  6. Step 6: Final answer
    x = 12,010.95

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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.