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Finding the Fourth Proportional to 17,024.14, 25,522.44 and 7,657.30

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Solution

The fourth proportional to 17,024.14, 25,522.44 and 7,657.30 is: 11,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024.14 : 25,522.44 = 7,657.30 : x
  2. Step 2: Convert to fraction form
    17,024.14/25,522.44 = 7,657.30/x
  3. Step 3: Cross multiply
    17,024.14x = 25,522.44 × 7,657.30
  4. Step 4: Simplify right side
    17,024.14x = 195,432,979.81
  5. Step 5: Solve for x
    x = 195,432,979.81/17,024.14
  6. Step 6: Final answer
    x = 11,479.76

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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.