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Finding the Fourth Proportional to 17,693.16, 24,416.94 and 9,735.80

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Solution

The fourth proportional to 17,693.16, 24,416.94 and 9,735.80 is: 13,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.16 : 24,416.94 = 9,735.80 : x
  2. Step 2: Convert to fraction form
    17,693.16/24,416.94 = 9,735.80/x
  3. Step 3: Cross multiply
    17,693.16x = 24,416.94 × 9,735.80
  4. Step 4: Simplify right side
    17,693.16x = 237,718,444.45
  5. Step 5: Solve for x
    x = 237,718,444.45/17,693.16
  6. Step 6: Final answer
    x = 13,435.61

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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.