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Finding the Fourth Proportional to 19,963.11, 27,549.04 and 11,465.78

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Solution

The fourth proportional to 19,963.11, 27,549.04 and 11,465.78 is: 15,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,963.11 : 27,549.04 = 11,465.78 : x
  2. Step 2: Convert to fraction form
    19,963.11/27,549.04 = 11,465.78/x
  3. Step 3: Cross multiply
    19,963.11x = 27,549.04 × 11,465.78
  4. Step 4: Simplify right side
    19,963.11x = 315,871,365.46
  5. Step 5: Solve for x
    x = 315,871,365.46/19,963.11
  6. Step 6: Final answer
    x = 15,822.75

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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.