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Finding the Fourth Proportional to 19,685.44, 29,524.10 and 5,642.34

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Solution

The fourth proportional to 19,685.44, 29,524.10 and 5,642.34 is: 8,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.44 : 29,524.10 = 5,642.34 : x
  2. Step 2: Convert to fraction form
    19,685.44/29,524.10 = 5,642.34/x
  3. Step 3: Cross multiply
    19,685.44x = 29,524.10 × 5,642.34
  4. Step 4: Simplify right side
    19,685.44x = 166,585,144.67
  5. Step 5: Solve for x
    x = 166,585,144.67/19,685.44
  6. Step 6: Final answer
    x = 8,462.35

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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.