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Finding the Fourth Proportional to 27,911.69, 38,519.01 and 15,978.87

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Solution

The fourth proportional to 27,911.69, 38,519.01 and 15,978.87 is: 22,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.69 : 38,519.01 = 15,978.87 : x
  2. Step 2: Convert to fraction form
    27,911.69/38,519.01 = 15,978.87/x
  3. Step 3: Cross multiply
    27,911.69x = 38,519.01 × 15,978.87
  4. Step 4: Simplify right side
    27,911.69x = 615,490,253.32
  5. Step 5: Solve for x
    x = 615,490,253.32/27,911.69
  6. Step 6: Final answer
    x = 22,051.34

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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.