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Finding the Fourth Proportional to 18,577.65, 27,865.11 and 6,097.48

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Solution

The fourth proportional to 18,577.65, 27,865.11 and 6,097.48 is: 9,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.65 : 27,865.11 = 6,097.48 : x
  2. Step 2: Convert to fraction form
    18,577.65/27,865.11 = 6,097.48/x
  3. Step 3: Cross multiply
    18,577.65x = 27,865.11 × 6,097.48
  4. Step 4: Simplify right side
    18,577.65x = 169,906,904.13
  5. Step 5: Solve for x
    x = 169,906,904.13/18,577.65
  6. Step 6: Final answer
    x = 9,145.77

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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.