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Finding the Fourth Proportional to 16,381.19, 24,571.79 and 13,078.82

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Solution

The fourth proportional to 16,381.19, 24,571.79 and 13,078.82 is: 19,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.19 : 24,571.79 = 13,078.82 : x
  2. Step 2: Convert to fraction form
    16,381.19/24,571.79 = 13,078.82/x
  3. Step 3: Cross multiply
    16,381.19x = 24,571.79 × 13,078.82
  4. Step 4: Simplify right side
    16,381.19x = 321,369,830.23
  5. Step 5: Solve for x
    x = 321,369,830.23/16,381.19
  6. Step 6: Final answer
    x = 19,618.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.