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Finding the Fourth Proportional to 17,916.98, 24,725.57 and 9,850.78

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Solution

The fourth proportional to 17,916.98, 24,725.57 and 9,850.78 is: 13,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,916.98 : 24,725.57 = 9,850.78 : x
  2. Step 2: Convert to fraction form
    17,916.98/24,725.57 = 9,850.78/x
  3. Step 3: Cross multiply
    17,916.98x = 24,725.57 × 9,850.78
  4. Step 4: Simplify right side
    17,916.98x = 243,566,039.38
  5. Step 5: Solve for x
    x = 243,566,039.38/17,916.98
  6. Step 6: Final answer
    x = 13,594.14

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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.