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Finding the Fourth Proportional to 17,657.60, 24,369.64 and 10,205.60

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Solution

The fourth proportional to 17,657.60, 24,369.64 and 10,205.60 is: 14,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.60 : 24,369.64 = 10,205.60 : x
  2. Step 2: Convert to fraction form
    17,657.60/24,369.64 = 10,205.60/x
  3. Step 3: Cross multiply
    17,657.60x = 24,369.64 × 10,205.60
  4. Step 4: Simplify right side
    17,657.60x = 248,706,797.98
  5. Step 5: Solve for x
    x = 248,706,797.98/17,657.60
  6. Step 6: Final answer
    x = 14,084.97

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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.