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Finding the Fourth Proportional to 16,947, 23,386.47 and 9,872.97

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Solution

The fourth proportional to 16,947, 23,386.47 and 9,872.97 is: 13,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,947 : 23,386.47 = 9,872.97 : x
  2. Step 2: Convert to fraction form
    16,947/23,386.47 = 9,872.97/x
  3. Step 3: Cross multiply
    16,947x = 23,386.47 × 9,872.97
  4. Step 4: Simplify right side
    16,947x = 230,893,916.72
  5. Step 5: Solve for x
    x = 230,893,916.72/16,947
  6. Step 6: Final answer
    x = 13,624.47

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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.