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Finding the Fourth Proportional to 17,916.46, 24,725.01 and 9,850.46

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Solution

The fourth proportional to 17,916.46, 24,725.01 and 9,850.46 is: 13,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,916.46 : 24,725.01 = 9,850.46 : x
  2. Step 2: Convert to fraction form
    17,916.46/24,725.01 = 9,850.46/x
  3. Step 3: Cross multiply
    17,916.46x = 24,725.01 × 9,850.46
  4. Step 4: Simplify right side
    17,916.46x = 243,552,598.38
  5. Step 5: Solve for x
    x = 243,552,598.38/17,916.46
  6. Step 6: Final answer
    x = 13,593.79

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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.