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Finding the Fourth Proportional to 18,565.81, 27,843.01 and 6,718.14

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Solution

The fourth proportional to 18,565.81, 27,843.01 and 6,718.14 is: 10,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.81 : 27,843.01 = 6,718.14 : x
  2. Step 2: Convert to fraction form
    18,565.81/27,843.01 = 6,718.14/x
  3. Step 3: Cross multiply
    18,565.81x = 27,843.01 × 6,718.14
  4. Step 4: Simplify right side
    18,565.81x = 187,053,222.41
  5. Step 5: Solve for x
    x = 187,053,222.41/18,565.81
  6. Step 6: Final answer
    x = 10,075.15

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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.