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Finding the Fourth Proportional to 17,850.78, 24,630.48 and 9,891.18

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Solution

The fourth proportional to 17,850.78, 24,630.48 and 9,891.18 is: 13,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850.78 : 24,630.48 = 9,891.18 : x
  2. Step 2: Convert to fraction form
    17,850.78/24,630.48 = 9,891.18/x
  3. Step 3: Cross multiply
    17,850.78x = 24,630.48 × 9,891.18
  4. Step 4: Simplify right side
    17,850.78x = 243,624,511.17
  5. Step 5: Solve for x
    x = 243,624,511.17/17,850.78
  6. Step 6: Final answer
    x = 13,647.84

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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.