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Finding the Fourth Proportional to 18,284.88, 27,365.88 and 10,482

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Solution

The fourth proportional to 18,284.88, 27,365.88 and 10,482 is: 15,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.88 : 27,365.88 = 10,482 : x
  2. Step 2: Convert to fraction form
    18,284.88/27,365.88 = 10,482/x
  3. Step 3: Cross multiply
    18,284.88x = 27,365.88 × 10,482
  4. Step 4: Simplify right side
    18,284.88x = 286,849,154.16
  5. Step 5: Solve for x
    x = 286,849,154.16/18,284.88
  6. Step 6: Final answer
    x = 15,687.78

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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.