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Finding the Fourth Proportional to 18,282.88, 27,362.88 and 10,480

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Solution

The fourth proportional to 18,282.88, 27,362.88 and 10,480 is: 15,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,282.88 : 27,362.88 = 10,480 : x
  2. Step 2: Convert to fraction form
    18,282.88/27,362.88 = 10,480/x
  3. Step 3: Cross multiply
    18,282.88x = 27,362.88 × 10,480
  4. Step 4: Simplify right side
    18,282.88x = 286,762,982.40
  5. Step 5: Solve for x
    x = 286,762,982.40/18,282.88
  6. Step 6: Final answer
    x = 15,684.78

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