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Finding the Fourth Proportional to 27,036, 37,299.24 and 16,960.32

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Solution

The fourth proportional to 27,036, 37,299.24 and 16,960.32 is: 23,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,036 : 37,299.24 = 16,960.32 : x
  2. Step 2: Convert to fraction form
    27,036/37,299.24 = 16,960.32/x
  3. Step 3: Cross multiply
    27,036x = 37,299.24 × 16,960.32
  4. Step 4: Simplify right side
    27,036x = 632,607,046.16
  5. Step 5: Solve for x
    x = 632,607,046.16/27,036
  6. Step 6: Final answer
    x = 23,398.69

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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.