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Finding the Fourth Proportional to 19,867.53, 29,805.38 and 5,828.01

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Solution

The fourth proportional to 19,867.53, 29,805.38 and 5,828.01 is: 8,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,867.53 : 29,805.38 = 5,828.01 : x
  2. Step 2: Convert to fraction form
    19,867.53/29,805.38 = 5,828.01/x
  3. Step 3: Cross multiply
    19,867.53x = 29,805.38 × 5,828.01
  4. Step 4: Simplify right side
    19,867.53x = 173,706,052.69
  5. Step 5: Solve for x
    x = 173,706,052.69/19,867.53
  6. Step 6: Final answer
    x = 8,743.21

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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.