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Finding the Fourth Proportional to 22,699, 34,048.26 and 8,857.72

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Solution

The fourth proportional to 22,699, 34,048.26 and 8,857.72 is: 13,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,699 : 34,048.26 = 8,857.72 : x
  2. Step 2: Convert to fraction form
    22,699/34,048.26 = 8,857.72/x
  3. Step 3: Cross multiply
    22,699x = 34,048.26 × 8,857.72
  4. Step 4: Simplify right side
    22,699x = 301,589,953.57
  5. Step 5: Solve for x
    x = 301,589,953.57/22,699
  6. Step 6: Final answer
    x = 13,286.49

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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.