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Finding the Fourth Proportional to 18,282.53, 27,425.86 and 7,187.76

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Solution

The fourth proportional to 18,282.53, 27,425.86 and 7,187.76 is: 10,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,282.53 : 27,425.86 = 7,187.76 : x
  2. Step 2: Convert to fraction form
    18,282.53/27,425.86 = 7,187.76/x
  3. Step 3: Cross multiply
    18,282.53x = 27,425.86 × 7,187.76
  4. Step 4: Simplify right side
    18,282.53x = 197,130,481.50
  5. Step 5: Solve for x
    x = 197,130,481.50/18,282.53
  6. Step 6: Final answer
    x = 10,782.45

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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.