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Finding the Fourth Proportional to 18,151.79, 27,203.45 and 9,700.97

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Solution

The fourth proportional to 18,151.79, 27,203.45 and 9,700.97 is: 14,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,151.79 : 27,203.45 = 9,700.97 : x
  2. Step 2: Convert to fraction form
    18,151.79/27,203.45 = 9,700.97/x
  3. Step 3: Cross multiply
    18,151.79x = 27,203.45 × 9,700.97
  4. Step 4: Simplify right side
    18,151.79x = 263,899,740.58
  5. Step 5: Solve for x
    x = 263,899,740.58/18,151.79
  6. Step 6: Final answer
    x = 14,538.50

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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.