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Finding the Fourth Proportional to 14,475.38, 19,976.98 and 8,102.56

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Solution

The fourth proportional to 14,475.38, 19,976.98 and 8,102.56 is: 11,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.38 : 19,976.98 = 8,102.56 : x
  2. Step 2: Convert to fraction form
    14,475.38/19,976.98 = 8,102.56/x
  3. Step 3: Cross multiply
    14,475.38x = 19,976.98 × 8,102.56
  4. Step 4: Simplify right side
    14,475.38x = 161,864,679.07
  5. Step 5: Solve for x
    x = 161,864,679.07/14,475.38
  6. Step 6: Final answer
    x = 11,182.07

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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.