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Finding the Fourth Proportional to 19,571.16, 27,013.01 and 12,019.29

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Solution

The fourth proportional to 19,571.16, 27,013.01 and 12,019.29 is: 16,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571.16 : 27,013.01 = 12,019.29 : x
  2. Step 2: Convert to fraction form
    19,571.16/27,013.01 = 12,019.29/x
  3. Step 3: Cross multiply
    19,571.16x = 27,013.01 × 12,019.29
  4. Step 4: Simplify right side
    19,571.16x = 324,677,140.87
  5. Step 5: Solve for x
    x = 324,677,140.87/19,571.16
  6. Step 6: Final answer
    x = 16,589.57

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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.