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Finding the Fourth Proportional to 19,881.92, 27,437.04 and 10,930

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Solution

The fourth proportional to 19,881.92, 27,437.04 and 10,930 is: 15,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.92 : 27,437.04 = 10,930 : x
  2. Step 2: Convert to fraction form
    19,881.92/27,437.04 = 10,930/x
  3. Step 3: Cross multiply
    19,881.92x = 27,437.04 × 10,930
  4. Step 4: Simplify right side
    19,881.92x = 299,886,847.20
  5. Step 5: Solve for x
    x = 299,886,847.20/19,881.92
  6. Step 6: Final answer
    x = 15,083.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.