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Finding the Fourth Proportional to 19,827.24, 27,358.50 and 11,442.12

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Solution

The fourth proportional to 19,827.24, 27,358.50 and 11,442.12 is: 15,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.24 : 27,358.50 = 11,442.12 : x
  2. Step 2: Convert to fraction form
    19,827.24/27,358.50 = 11,442.12/x
  3. Step 3: Cross multiply
    19,827.24x = 27,358.50 × 11,442.12
  4. Step 4: Simplify right side
    19,827.24x = 313,039,240.02
  5. Step 5: Solve for x
    x = 313,039,240.02/19,827.24
  6. Step 6: Final answer
    x = 15,788.34

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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.