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Finding the Fourth Proportional to 17,960.12, 24,784.14 and 9,893.53

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Solution

The fourth proportional to 17,960.12, 24,784.14 and 9,893.53 is: 13,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,960.12 : 24,784.14 = 9,893.53 : x
  2. Step 2: Convert to fraction form
    17,960.12/24,784.14 = 9,893.53/x
  3. Step 3: Cross multiply
    17,960.12x = 24,784.14 × 9,893.53
  4. Step 4: Simplify right side
    17,960.12x = 245,202,632.61
  5. Step 5: Solve for x
    x = 245,202,632.61/17,960.12
  6. Step 6: Final answer
    x = 13,652.62

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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.