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Finding the Fourth Proportional to 21,178.25, 29,227.60 and 11,746.81

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Solution

The fourth proportional to 21,178.25, 29,227.60 and 11,746.81 is: 16,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.25 : 29,227.60 = 11,746.81 : x
  2. Step 2: Convert to fraction form
    21,178.25/29,227.60 = 11,746.81/x
  3. Step 3: Cross multiply
    21,178.25x = 29,227.60 × 11,746.81
  4. Step 4: Simplify right side
    21,178.25x = 343,331,063.96
  5. Step 5: Solve for x
    x = 343,331,063.96/21,178.25
  6. Step 6: Final answer
    x = 16,211.49

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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.