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Finding the Fourth Proportional to 17,755.87, 24,503.85 and 10,202.08

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Solution

The fourth proportional to 17,755.87, 24,503.85 and 10,202.08 is: 14,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755.87 : 24,503.85 = 10,202.08 : x
  2. Step 2: Convert to fraction form
    17,755.87/24,503.85 = 10,202.08/x
  3. Step 3: Cross multiply
    17,755.87x = 24,503.85 × 10,202.08
  4. Step 4: Simplify right side
    17,755.87x = 249,990,238.01
  5. Step 5: Solve for x
    x = 249,990,238.01/17,755.87
  6. Step 6: Final answer
    x = 14,079.30

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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.