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Finding the Fourth Proportional to 17,724, 26,586 and 5,412

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Solution

The fourth proportional to 17,724, 26,586 and 5,412 is: 8,118

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724 : 26,586 = 5,412 : x
  2. Step 2: Convert to fraction form
    17,724/26,586 = 5,412/x
  3. Step 3: Cross multiply
    17,724x = 26,586 × 5,412
  4. Step 4: Simplify right side
    17,724x = 143,883,432
  5. Step 5: Solve for x
    x = 143,883,432/17,724
  6. Step 6: Final answer
    x = 8,118

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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.