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Finding the Fourth Proportional to 14,387.11, 19,855.38 and 8,014.30

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Solution

The fourth proportional to 14,387.11, 19,855.38 and 8,014.30 is: 11,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,387.11 : 19,855.38 = 8,014.30 : x
  2. Step 2: Convert to fraction form
    14,387.11/19,855.38 = 8,014.30/x
  3. Step 3: Cross multiply
    14,387.11x = 19,855.38 × 8,014.30
  4. Step 4: Simplify right side
    14,387.11x = 159,126,971.93
  5. Step 5: Solve for x
    x = 159,126,971.93/14,387.11
  6. Step 6: Final answer
    x = 11,060.38

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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.