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Finding the Fourth Proportional to 19,944.35, 29,916.39 and 9,524.51

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Solution

The fourth proportional to 19,944.35, 29,916.39 and 9,524.51 is: 14,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,944.35 : 29,916.39 = 9,524.51 : x
  2. Step 2: Convert to fraction form
    19,944.35/29,916.39 = 9,524.51/x
  3. Step 3: Cross multiply
    19,944.35x = 29,916.39 × 9,524.51
  4. Step 4: Simplify right side
    19,944.35x = 284,938,955.72
  5. Step 5: Solve for x
    x = 284,938,955.72/19,944.35
  6. Step 6: Final answer
    x = 14,286.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.