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Finding the Fourth Proportional to 19,687.16, 29,524.36 and 6,536

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Solution

The fourth proportional to 19,687.16, 29,524.36 and 6,536 is: 9,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.16 : 29,524.36 = 6,536 : x
  2. Step 2: Convert to fraction form
    19,687.16/29,524.36 = 6,536/x
  3. Step 3: Cross multiply
    19,687.16x = 29,524.36 × 6,536
  4. Step 4: Simplify right side
    19,687.16x = 192,971,216.96
  5. Step 5: Solve for x
    x = 192,971,216.96/19,687.16
  6. Step 6: Final answer
    x = 9,801.88

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