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Finding the Fourth Proportional to 14,372.66, 19,834.01 and 8,000.28

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Solution

The fourth proportional to 14,372.66, 19,834.01 and 8,000.28 is: 11,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372.66 : 19,834.01 = 8,000.28 : x
  2. Step 2: Convert to fraction form
    14,372.66/19,834.01 = 8,000.28/x
  3. Step 3: Cross multiply
    14,372.66x = 19,834.01 × 8,000.28
  4. Step 4: Simplify right side
    14,372.66x = 158,677,593.52
  5. Step 5: Solve for x
    x = 158,677,593.52/14,372.66
  6. Step 6: Final answer
    x = 11,040.24

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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.