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Finding the Fourth Proportional to 14,687.20, 21,985.80 and 8,093.20

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Solution

The fourth proportional to 14,687.20, 21,985.80 and 8,093.20 is: 12,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.20 : 21,985.80 = 8,093.20 : x
  2. Step 2: Convert to fraction form
    14,687.20/21,985.80 = 8,093.20/x
  3. Step 3: Cross multiply
    14,687.20x = 21,985.80 × 8,093.20
  4. Step 4: Simplify right side
    14,687.20x = 177,935,476.56
  5. Step 5: Solve for x
    x = 177,935,476.56/14,687.20
  6. Step 6: Final answer
    x = 12,115.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.