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Finding the Fourth Proportional to 18,187.68, 27,254.16 and 12,324

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Solution

The fourth proportional to 18,187.68, 27,254.16 and 12,324 is: 18,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,187.68 : 27,254.16 = 12,324 : x
  2. Step 2: Convert to fraction form
    18,187.68/27,254.16 = 12,324/x
  3. Step 3: Cross multiply
    18,187.68x = 27,254.16 × 12,324
  4. Step 4: Simplify right side
    18,187.68x = 335,880,267.84
  5. Step 5: Solve for x
    x = 335,880,267.84/18,187.68
  6. Step 6: Final answer
    x = 18,467.46

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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.