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Finding the Fourth Proportional to 20,578.29, 30,864.27 and 6,536.50

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Solution

The fourth proportional to 20,578.29, 30,864.27 and 6,536.50 is: 9,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.29 : 30,864.27 = 6,536.50 : x
  2. Step 2: Convert to fraction form
    20,578.29/30,864.27 = 6,536.50/x
  3. Step 3: Cross multiply
    20,578.29x = 30,864.27 × 6,536.50
  4. Step 4: Simplify right side
    20,578.29x = 201,744,300.86
  5. Step 5: Solve for x
    x = 201,744,300.86/20,578.29
  6. Step 6: Final answer
    x = 9,803.74

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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.