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Finding the Fourth Proportional to 18,534.65, 27,813.39 and 7,288.01

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Solution

The fourth proportional to 18,534.65, 27,813.39 and 7,288.01 is: 10,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.65 : 27,813.39 = 7,288.01 : x
  2. Step 2: Convert to fraction form
    18,534.65/27,813.39 = 7,288.01/x
  3. Step 3: Cross multiply
    18,534.65x = 27,813.39 × 7,288.01
  4. Step 4: Simplify right side
    18,534.65x = 202,704,088.95
  5. Step 5: Solve for x
    x = 202,704,088.95/18,534.65
  6. Step 6: Final answer
    x = 10,936.50

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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.