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Finding the Fourth Proportional to 19,724, 29,586.96 and 5,873.12

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Solution

The fourth proportional to 19,724, 29,586.96 and 5,873.12 is: 8,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,724 : 29,586.96 = 5,873.12 : x
  2. Step 2: Convert to fraction form
    19,724/29,586.96 = 5,873.12/x
  3. Step 3: Cross multiply
    19,724x = 29,586.96 × 5,873.12
  4. Step 4: Simplify right side
    19,724x = 173,767,766.52
  5. Step 5: Solve for x
    x = 173,767,766.52/19,724
  6. Step 6: Final answer
    x = 8,809.97

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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.