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Finding the Fourth Proportional to 14,057.06, 19,409.92 and 8,687.30

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Solution

The fourth proportional to 14,057.06, 19,409.92 and 8,687.30 is: 11,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.06 : 19,409.92 = 8,687.30 : x
  2. Step 2: Convert to fraction form
    14,057.06/19,409.92 = 8,687.30/x
  3. Step 3: Cross multiply
    14,057.06x = 19,409.92 × 8,687.30
  4. Step 4: Simplify right side
    14,057.06x = 168,619,798.02
  5. Step 5: Solve for x
    x = 168,619,798.02/14,057.06
  6. Step 6: Final answer
    x = 11,995.38

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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.