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Finding the Fourth Proportional to 19,713.38, 29,568.98 and 8,036.42

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Solution

The fourth proportional to 19,713.38, 29,568.98 and 8,036.42 is: 12,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.38 : 29,568.98 = 8,036.42 : x
  2. Step 2: Convert to fraction form
    19,713.38/29,568.98 = 8,036.42/x
  3. Step 3: Cross multiply
    19,713.38x = 29,568.98 × 8,036.42
  4. Step 4: Simplify right side
    19,713.38x = 237,628,614.50
  5. Step 5: Solve for x
    x = 237,628,614.50/19,713.38
  6. Step 6: Final answer
    x = 12,054.18

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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.