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Finding the Fourth Proportional to 17,712, 26,568 and 6,024.96

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Solution

The fourth proportional to 17,712, 26,568 and 6,024.96 is: 9,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712 : 26,568 = 6,024.96 : x
  2. Step 2: Convert to fraction form
    17,712/26,568 = 6,024.96/x
  3. Step 3: Cross multiply
    17,712x = 26,568 × 6,024.96
  4. Step 4: Simplify right side
    17,712x = 160,071,137.28
  5. Step 5: Solve for x
    x = 160,071,137.28/17,712
  6. Step 6: Final answer
    x = 9,037.44

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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.