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Finding the Fourth Proportional to 38,299.92, 57,434.16 and 14,616.09

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Solution

The fourth proportional to 38,299.92, 57,434.16 and 14,616.09 is: 21,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,299.92 : 57,434.16 = 14,616.09 : x
  2. Step 2: Convert to fraction form
    38,299.92/57,434.16 = 14,616.09/x
  3. Step 3: Cross multiply
    38,299.92x = 57,434.16 × 14,616.09
  4. Step 4: Simplify right side
    38,299.92x = 839,462,851.63
  5. Step 5: Solve for x
    x = 839,462,851.63/38,299.92
  6. Step 6: Final answer
    x = 21,918.14

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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.