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Finding the Fourth Proportional to 20,175.16, 30,277.50 and 10,322.68

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Solution

The fourth proportional to 20,175.16, 30,277.50 and 10,322.68 is: 15,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.16 : 30,277.50 = 10,322.68 : x
  2. Step 2: Convert to fraction form
    20,175.16/30,277.50 = 10,322.68/x
  3. Step 3: Cross multiply
    20,175.16x = 30,277.50 × 10,322.68
  4. Step 4: Simplify right side
    20,175.16x = 312,544,943.70
  5. Step 5: Solve for x
    x = 312,544,943.70/20,175.16
  6. Step 6: Final answer
    x = 15,491.57

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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.