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Finding the Fourth Proportional to 20,496.71, 30,746.17 and 6,457.84

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Solution

The fourth proportional to 20,496.71, 30,746.17 and 6,457.84 is: 9,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.71 : 30,746.17 = 6,457.84 : x
  2. Step 2: Convert to fraction form
    20,496.71/30,746.17 = 6,457.84/x
  3. Step 3: Cross multiply
    20,496.71x = 30,746.17 × 6,457.84
  4. Step 4: Simplify right side
    20,496.71x = 198,553,777.68
  5. Step 5: Solve for x
    x = 198,553,777.68/20,496.71
  6. Step 6: Final answer
    x = 9,687.10

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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.