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Finding the Fourth Proportional to 14,406, 19,872.22 and 8,436.52

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Solution

The fourth proportional to 14,406, 19,872.22 and 8,436.52 is: 11,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406 : 19,872.22 = 8,436.52 : x
  2. Step 2: Convert to fraction form
    14,406/19,872.22 = 8,436.52/x
  3. Step 3: Cross multiply
    14,406x = 19,872.22 × 8,436.52
  4. Step 4: Simplify right side
    14,406x = 167,652,381.47
  5. Step 5: Solve for x
    x = 167,652,381.47/14,406
  6. Step 6: Final answer
    x = 11,637.68

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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.