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Finding the Fourth Proportional to 19,566, 27,001.12 and 11,182.48

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Solution

The fourth proportional to 19,566, 27,001.12 and 11,182.48 is: 15,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,566 : 27,001.12 = 11,182.48 : x
  2. Step 2: Convert to fraction form
    19,566/27,001.12 = 11,182.48/x
  3. Step 3: Cross multiply
    19,566x = 27,001.12 × 11,182.48
  4. Step 4: Simplify right side
    19,566x = 301,939,484.38
  5. Step 5: Solve for x
    x = 301,939,484.38/19,566
  6. Step 6: Final answer
    x = 15,431.85

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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.