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Finding the Fourth Proportional to 13,916.35, 19,204.44 and 7,542.82

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Solution

The fourth proportional to 13,916.35, 19,204.44 and 7,542.82 is: 10,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.35 : 19,204.44 = 7,542.82 : x
  2. Step 2: Convert to fraction form
    13,916.35/19,204.44 = 7,542.82/x
  3. Step 3: Cross multiply
    13,916.35x = 19,204.44 × 7,542.82
  4. Step 4: Simplify right side
    13,916.35x = 144,855,634.12
  5. Step 5: Solve for x
    x = 144,855,634.12/13,916.35
  6. Step 6: Final answer
    x = 10,409.02

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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.