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Finding the Fourth Proportional to 17,685.96, 24,406.10 and 9,728.18

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Solution

The fourth proportional to 17,685.96, 24,406.10 and 9,728.18 is: 13,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.96 : 24,406.10 = 9,728.18 : x
  2. Step 2: Convert to fraction form
    17,685.96/24,406.10 = 9,728.18/x
  3. Step 3: Cross multiply
    17,685.96x = 24,406.10 × 9,728.18
  4. Step 4: Simplify right side
    17,685.96x = 237,426,811.87
  5. Step 5: Solve for x
    x = 237,426,811.87/17,685.96
  6. Step 6: Final answer
    x = 13,424.60

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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.