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Finding the Fourth Proportional to 17,767.26, 26,621.72 and 6,074.10

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Solution

The fourth proportional to 17,767.26, 26,621.72 and 6,074.10 is: 9,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.26 : 26,621.72 = 6,074.10 : x
  2. Step 2: Convert to fraction form
    17,767.26/26,621.72 = 6,074.10/x
  3. Step 3: Cross multiply
    17,767.26x = 26,621.72 × 6,074.10
  4. Step 4: Simplify right side
    17,767.26x = 161,702,989.45
  5. Step 5: Solve for x
    x = 161,702,989.45/17,767.26
  6. Step 6: Final answer
    x = 9,101.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.