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Finding the Fourth Proportional to 20,690.66, 31,007.84 and 10,809.47

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Solution

The fourth proportional to 20,690.66, 31,007.84 and 10,809.47 is: 16,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.66 : 31,007.84 = 10,809.47 : x
  2. Step 2: Convert to fraction form
    20,690.66/31,007.84 = 10,809.47/x
  3. Step 3: Cross multiply
    20,690.66x = 31,007.84 × 10,809.47
  4. Step 4: Simplify right side
    20,690.66x = 335,178,339.72
  5. Step 5: Solve for x
    x = 335,178,339.72/20,690.66
  6. Step 6: Final answer
    x = 16,199.50

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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.