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Finding the Fourth Proportional to 18,552.16, 27,778.02 and 13,584.16

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Solution

The fourth proportional to 18,552.16, 27,778.02 and 13,584.16 is: 20,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,552.16 : 27,778.02 = 13,584.16 : x
  2. Step 2: Convert to fraction form
    18,552.16/27,778.02 = 13,584.16/x
  3. Step 3: Cross multiply
    18,552.16x = 27,778.02 × 13,584.16
  4. Step 4: Simplify right side
    18,552.16x = 377,341,068.16
  5. Step 5: Solve for x
    x = 377,341,068.16/18,552.16
  6. Step 6: Final answer
    x = 20,339.47

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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.