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Finding the Fourth Proportional to 19,882.86, 27,437.80 and 10,930.38

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Solution

The fourth proportional to 19,882.86, 27,437.80 and 10,930.38 is: 15,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.86 : 27,437.80 = 10,930.38 : x
  2. Step 2: Convert to fraction form
    19,882.86/27,437.80 = 10,930.38/x
  3. Step 3: Cross multiply
    19,882.86x = 27,437.80 × 10,930.38
  4. Step 4: Simplify right side
    19,882.86x = 299,905,580.36
  5. Step 5: Solve for x
    x = 299,905,580.36/19,882.86
  6. Step 6: Final answer
    x = 15,083.62

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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.