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Finding the Fourth Proportional to 20,297.64, 30,465.45 and 10,309.53

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Solution

The fourth proportional to 20,297.64, 30,465.45 and 10,309.53 is: 15,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.64 : 30,465.45 = 10,309.53 : x
  2. Step 2: Convert to fraction form
    20,297.64/30,465.45 = 10,309.53/x
  3. Step 3: Cross multiply
    20,297.64x = 30,465.45 × 10,309.53
  4. Step 4: Simplify right side
    20,297.64x = 314,084,584.98
  5. Step 5: Solve for x
    x = 314,084,584.98/20,297.64
  6. Step 6: Final answer
    x = 15,473.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.