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Finding the Fourth Proportional to 17,937.93, 24,754.01 and 9,980.09

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Solution

The fourth proportional to 17,937.93, 24,754.01 and 9,980.09 is: 13,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,937.93 : 24,754.01 = 9,980.09 : x
  2. Step 2: Convert to fraction form
    17,937.93/24,754.01 = 9,980.09/x
  3. Step 3: Cross multiply
    17,937.93x = 24,754.01 × 9,980.09
  4. Step 4: Simplify right side
    17,937.93x = 247,047,073.99
  5. Step 5: Solve for x
    x = 247,047,073.99/17,937.93
  6. Step 6: Final answer
    x = 13,772.33

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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.