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Finding the Fourth Proportional to 18,424.60, 27,578.10 and 14,536.60

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Solution

The fourth proportional to 18,424.60, 27,578.10 and 14,536.60 is: 21,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,424.60 : 27,578.10 = 14,536.60 : x
  2. Step 2: Convert to fraction form
    18,424.60/27,578.10 = 14,536.60/x
  3. Step 3: Cross multiply
    18,424.60x = 27,578.10 × 14,536.60
  4. Step 4: Simplify right side
    18,424.60x = 400,891,808.46
  5. Step 5: Solve for x
    x = 400,891,808.46/18,424.60
  6. Step 6: Final answer
    x = 21,758.51

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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.