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Finding the Fourth Proportional to 19,468.31, 26,864.34 and 11,402.82

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Solution

The fourth proportional to 19,468.31, 26,864.34 and 11,402.82 is: 15,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,468.31 : 26,864.34 = 11,402.82 : x
  2. Step 2: Convert to fraction form
    19,468.31/26,864.34 = 11,402.82/x
  3. Step 3: Cross multiply
    19,468.31x = 26,864.34 × 11,402.82
  4. Step 4: Simplify right side
    19,468.31x = 306,329,233.44
  5. Step 5: Solve for x
    x = 306,329,233.44/19,468.31
  6. Step 6: Final answer
    x = 15,734.77

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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.