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Finding the Fourth Proportional to 22,821.30, 34,237.05 and 8,030.70

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Solution

The fourth proportional to 22,821.30, 34,237.05 and 8,030.70 is: 12,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821.30 : 34,237.05 = 8,030.70 : x
  2. Step 2: Convert to fraction form
    22,821.30/34,237.05 = 8,030.70/x
  3. Step 3: Cross multiply
    22,821.30x = 34,237.05 × 8,030.70
  4. Step 4: Simplify right side
    22,821.30x = 274,947,477.44
  5. Step 5: Solve for x
    x = 274,947,477.44/22,821.30
  6. Step 6: Final answer
    x = 12,047.84

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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.