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Finding the Fourth Proportional to 14,616.52, 21,916.82 and 7,117.54

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Solution

The fourth proportional to 14,616.52, 21,916.82 and 7,117.54 is: 10,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.52 : 21,916.82 = 7,117.54 : x
  2. Step 2: Convert to fraction form
    14,616.52/21,916.82 = 7,117.54/x
  3. Step 3: Cross multiply
    14,616.52x = 21,916.82 × 7,117.54
  4. Step 4: Simplify right side
    14,616.52x = 155,993,843.02
  5. Step 5: Solve for x
    x = 155,993,843.02/14,616.52
  6. Step 6: Final answer
    x = 10,672.43

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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.