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Finding the Fourth Proportional to 17,916.73, 24,725.14 and 9,958.98

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Solution

The fourth proportional to 17,916.73, 24,725.14 and 9,958.98 is: 13,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,916.73 : 24,725.14 = 9,958.98 : x
  2. Step 2: Convert to fraction form
    17,916.73/24,725.14 = 9,958.98/x
  3. Step 3: Cross multiply
    17,916.73x = 24,725.14 × 9,958.98
  4. Step 4: Simplify right side
    17,916.73x = 246,237,019.96
  5. Step 5: Solve for x
    x = 246,237,019.96/17,916.73
  6. Step 6: Final answer
    x = 13,743.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.