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Finding the Fourth Proportional to 24,247.17, 36,370.77 and 6,717

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Solution

The fourth proportional to 24,247.17, 36,370.77 and 6,717 is: 10,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,247.17 : 36,370.77 = 6,717 : x
  2. Step 2: Convert to fraction form
    24,247.17/36,370.77 = 6,717/x
  3. Step 3: Cross multiply
    24,247.17x = 36,370.77 × 6,717
  4. Step 4: Simplify right side
    24,247.17x = 244,302,462.09
  5. Step 5: Solve for x
    x = 244,302,462.09/24,247.17
  6. Step 6: Final answer
    x = 10,075.50

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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.