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Finding the Fourth Proportional to 16,320.26, 22,522.06 and 8,868.26

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Solution

The fourth proportional to 16,320.26, 22,522.06 and 8,868.26 is: 12,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,320.26 : 22,522.06 = 8,868.26 : x
  2. Step 2: Convert to fraction form
    16,320.26/22,522.06 = 8,868.26/x
  3. Step 3: Cross multiply
    16,320.26x = 22,522.06 × 8,868.26
  4. Step 4: Simplify right side
    16,320.26x = 199,731,483.82
  5. Step 5: Solve for x
    x = 199,731,483.82/16,320.26
  6. Step 6: Final answer
    x = 12,238.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.