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Finding the Fourth Proportional to 21,802.96, 30,093.84 and 12,856.42

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Solution

The fourth proportional to 21,802.96, 30,093.84 and 12,856.42 is: 17,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.96 : 30,093.84 = 12,856.42 : x
  2. Step 2: Convert to fraction form
    21,802.96/30,093.84 = 12,856.42/x
  3. Step 3: Cross multiply
    21,802.96x = 30,093.84 × 12,856.42
  4. Step 4: Simplify right side
    21,802.96x = 386,899,046.45
  5. Step 5: Solve for x
    x = 386,899,046.45/21,802.96
  6. Step 6: Final answer
    x = 17,745.25

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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.