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Finding the Fourth Proportional to 18,547.65, 27,796.23 and 15,447.24

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Solution

The fourth proportional to 18,547.65, 27,796.23 and 15,447.24 is: 23,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.65 : 27,796.23 = 15,447.24 : x
  2. Step 2: Convert to fraction form
    18,547.65/27,796.23 = 15,447.24/x
  3. Step 3: Cross multiply
    18,547.65x = 27,796.23 × 15,447.24
  4. Step 4: Simplify right side
    18,547.65x = 429,375,035.91
  5. Step 5: Solve for x
    x = 429,375,035.91/18,547.65
  6. Step 6: Final answer
    x = 23,149.83

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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.