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Finding the Fourth Proportional to 20,657.37, 30,968.81 and 9,572.01

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Solution

The fourth proportional to 20,657.37, 30,968.81 and 9,572.01 is: 14,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.37 : 30,968.81 = 9,572.01 : x
  2. Step 2: Convert to fraction form
    20,657.37/30,968.81 = 9,572.01/x
  3. Step 3: Cross multiply
    20,657.37x = 30,968.81 × 9,572.01
  4. Step 4: Simplify right side
    20,657.37x = 296,433,711.15
  5. Step 5: Solve for x
    x = 296,433,711.15/20,657.37
  6. Step 6: Final answer
    x = 14,350.02

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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.