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Finding the Fourth Proportional to 17,850, 26,767.20 and 9,528.12

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Solution

The fourth proportional to 17,850, 26,767.20 and 9,528.12 is: 14,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850 : 26,767.20 = 9,528.12 : x
  2. Step 2: Convert to fraction form
    17,850/26,767.20 = 9,528.12/x
  3. Step 3: Cross multiply
    17,850x = 26,767.20 × 9,528.12
  4. Step 4: Simplify right side
    17,850x = 255,041,093.66
  5. Step 5: Solve for x
    x = 255,041,093.66/17,850
  6. Step 6: Final answer
    x = 14,288.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.