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Finding the Fourth Proportional to 19,524.96, 29,287.18 and 4,734

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Solution

The fourth proportional to 19,524.96, 29,287.18 and 4,734 is: 7,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524.96 : 29,287.18 = 4,734 : x
  2. Step 2: Convert to fraction form
    19,524.96/29,287.18 = 4,734/x
  3. Step 3: Cross multiply
    19,524.96x = 29,287.18 × 4,734
  4. Step 4: Simplify right side
    19,524.96x = 138,645,510.12
  5. Step 5: Solve for x
    x = 138,645,510.12/19,524.96
  6. Step 6: Final answer
    x = 7,100.94

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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.