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Finding the Fourth Proportional to 17,680.91, 26,532.91 and 6,596.47

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Solution

The fourth proportional to 17,680.91, 26,532.91 and 6,596.47 is: 9,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.91 : 26,532.91 = 6,596.47 : x
  2. Step 2: Convert to fraction form
    17,680.91/26,532.91 = 6,596.47/x
  3. Step 3: Cross multiply
    17,680.91x = 26,532.91 × 6,596.47
  4. Step 4: Simplify right side
    17,680.91x = 175,023,412.16
  5. Step 5: Solve for x
    x = 175,023,412.16/17,680.91
  6. Step 6: Final answer
    x = 9,899.00

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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.