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Finding the Fourth Proportional to 19,782.48, 27,301.14 and 11,399.52

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Solution

The fourth proportional to 19,782.48, 27,301.14 and 11,399.52 is: 15,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.48 : 27,301.14 = 11,399.52 : x
  2. Step 2: Convert to fraction form
    19,782.48/27,301.14 = 11,399.52/x
  3. Step 3: Cross multiply
    19,782.48x = 27,301.14 × 11,399.52
  4. Step 4: Simplify right side
    19,782.48x = 311,219,891.45
  5. Step 5: Solve for x
    x = 311,219,891.45/19,782.48
  6. Step 6: Final answer
    x = 15,732.10

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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.