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Finding the Fourth Proportional to 22,829.64, 34,248.71 and 8,047.95

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Solution

The fourth proportional to 22,829.64, 34,248.71 and 8,047.95 is: 12,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829.64 : 34,248.71 = 8,047.95 : x
  2. Step 2: Convert to fraction form
    22,829.64/34,248.71 = 8,047.95/x
  3. Step 3: Cross multiply
    22,829.64x = 34,248.71 × 8,047.95
  4. Step 4: Simplify right side
    22,829.64x = 275,631,905.64
  5. Step 5: Solve for x
    x = 275,631,905.64/22,829.64
  6. Step 6: Final answer
    x = 12,073.42

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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.