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Finding the Fourth Proportional to 17,896.77, 24,697.62 and 9,938.97

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Solution

The fourth proportional to 17,896.77, 24,697.62 and 9,938.97 is: 13,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.77 : 24,697.62 = 9,938.97 : x
  2. Step 2: Convert to fraction form
    17,896.77/24,697.62 = 9,938.97/x
  3. Step 3: Cross multiply
    17,896.77x = 24,697.62 × 9,938.97
  4. Step 4: Simplify right side
    17,896.77x = 245,468,904.25
  5. Step 5: Solve for x
    x = 245,468,904.25/17,896.77
  6. Step 6: Final answer
    x = 13,715.82

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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.