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Finding the Fourth Proportional to 18,633.51, 27,977.94 and 7,561.89

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Solution

The fourth proportional to 18,633.51, 27,977.94 and 7,561.89 is: 11,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,633.51 : 27,977.94 = 7,561.89 : x
  2. Step 2: Convert to fraction form
    18,633.51/27,977.94 = 7,561.89/x
  3. Step 3: Cross multiply
    18,633.51x = 27,977.94 × 7,561.89
  4. Step 4: Simplify right side
    18,633.51x = 211,566,104.71
  5. Step 5: Solve for x
    x = 211,566,104.71/18,633.51
  6. Step 6: Final answer
    x = 11,354.07

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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.