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Finding the Fourth Proportional to 18,578.16, 27,833.76 and 18,184.50

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Solution

The fourth proportional to 18,578.16, 27,833.76 and 18,184.50 is: 27,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578.16 : 27,833.76 = 18,184.50 : x
  2. Step 2: Convert to fraction form
    18,578.16/27,833.76 = 18,184.50/x
  3. Step 3: Cross multiply
    18,578.16x = 27,833.76 × 18,184.50
  4. Step 4: Simplify right side
    18,578.16x = 506,143,008.72
  5. Step 5: Solve for x
    x = 506,143,008.72/18,578.16
  6. Step 6: Final answer
    x = 27,243.98

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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.