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Finding the Fourth Proportional to 17,034.16, 25,552.32 and 5,347.84

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Solution

The fourth proportional to 17,034.16, 25,552.32 and 5,347.84 is: 8,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,034.16 : 25,552.32 = 5,347.84 : x
  2. Step 2: Convert to fraction form
    17,034.16/25,552.32 = 5,347.84/x
  3. Step 3: Cross multiply
    17,034.16x = 25,552.32 × 5,347.84
  4. Step 4: Simplify right side
    17,034.16x = 136,649,718.99
  5. Step 5: Solve for x
    x = 136,649,718.99/17,034.16
  6. Step 6: Final answer
    x = 8,022.10

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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.