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Finding the Fourth Proportional to 17,832.94, 26,713.66 and 8,482

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Solution

The fourth proportional to 17,832.94, 26,713.66 and 8,482 is: 12,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.94 : 26,713.66 = 8,482 : x
  2. Step 2: Convert to fraction form
    17,832.94/26,713.66 = 8,482/x
  3. Step 3: Cross multiply
    17,832.94x = 26,713.66 × 8,482
  4. Step 4: Simplify right side
    17,832.94x = 226,585,264.12
  5. Step 5: Solve for x
    x = 226,585,264.12/17,832.94
  6. Step 6: Final answer
    x = 12,706.00

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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.