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Finding the Fourth Proportional to 27,700.18, 38,230.62 and 17,618.14

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Solution

The fourth proportional to 27,700.18, 38,230.62 and 17,618.14 is: 24,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700.18 : 38,230.62 = 17,618.14 : x
  2. Step 2: Convert to fraction form
    27,700.18/38,230.62 = 17,618.14/x
  3. Step 3: Cross multiply
    27,700.18x = 38,230.62 × 17,618.14
  4. Step 4: Simplify right side
    27,700.18x = 673,552,415.45
  5. Step 5: Solve for x
    x = 673,552,415.45/27,700.18
  6. Step 6: Final answer
    x = 24,315.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.