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Finding the Fourth Proportional to 17,697.77, 24,420.13 and 10,142.65

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Solution

The fourth proportional to 17,697.77, 24,420.13 and 10,142.65 is: 13,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.77 : 24,420.13 = 10,142.65 : x
  2. Step 2: Convert to fraction form
    17,697.77/24,420.13 = 10,142.65/x
  3. Step 3: Cross multiply
    17,697.77x = 24,420.13 × 10,142.65
  4. Step 4: Simplify right side
    17,697.77x = 247,684,745.14
  5. Step 5: Solve for x
    x = 247,684,745.14/17,697.77
  6. Step 6: Final answer
    x = 13,995.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.