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Finding the Fourth Proportional to 22,795.17, 34,208.82 and 8,005.24

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Solution

The fourth proportional to 22,795.17, 34,208.82 and 8,005.24 is: 12,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,795.17 : 34,208.82 = 8,005.24 : x
  2. Step 2: Convert to fraction form
    22,795.17/34,208.82 = 8,005.24/x
  3. Step 3: Cross multiply
    22,795.17x = 34,208.82 × 8,005.24
  4. Step 4: Simplify right side
    22,795.17x = 273,849,774.19
  5. Step 5: Solve for x
    x = 273,849,774.19/22,795.17
  6. Step 6: Final answer
    x = 12,013.50

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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.