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Finding the Fourth Proportional to 18,526.41, 27,788.81 and 5,378.49

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Solution

The fourth proportional to 18,526.41, 27,788.81 and 5,378.49 is: 8,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,526.41 : 27,788.81 = 5,378.49 : x
  2. Step 2: Convert to fraction form
    18,526.41/27,788.81 = 5,378.49/x
  3. Step 3: Cross multiply
    18,526.41x = 27,788.81 × 5,378.49
  4. Step 4: Simplify right side
    18,526.41x = 149,461,809.80
  5. Step 5: Solve for x
    x = 149,461,809.80/18,526.41
  6. Step 6: Final answer
    x = 8,067.50

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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.