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Finding the Fourth Proportional to 27,986, 38,617.16 and 18,931.12

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Solution

The fourth proportional to 27,986, 38,617.16 and 18,931.12 is: 26,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986 : 38,617.16 = 18,931.12 : x
  2. Step 2: Convert to fraction form
    27,986/38,617.16 = 18,931.12/x
  3. Step 3: Cross multiply
    27,986x = 38,617.16 × 18,931.12
  4. Step 4: Simplify right side
    27,986x = 731,066,090.02
  5. Step 5: Solve for x
    x = 731,066,090.02/27,986
  6. Step 6: Final answer
    x = 26,122.56

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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.