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Finding the Fourth Proportional to 13,872.16, 19,142.08 and 8,207.12

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Solution

The fourth proportional to 13,872.16, 19,142.08 and 8,207.12 is: 11,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.16 : 19,142.08 = 8,207.12 : x
  2. Step 2: Convert to fraction form
    13,872.16/19,142.08 = 8,207.12/x
  3. Step 3: Cross multiply
    13,872.16x = 19,142.08 × 8,207.12
  4. Step 4: Simplify right side
    13,872.16x = 157,101,347.61
  5. Step 5: Solve for x
    x = 157,101,347.61/13,872.16
  6. Step 6: Final answer
    x = 11,324.94

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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.