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Finding the Fourth Proportional to 20,530.67, 28,332.18 and 11,578.24

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Solution

The fourth proportional to 20,530.67, 28,332.18 and 11,578.24 is: 15,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.67 : 28,332.18 = 11,578.24 : x
  2. Step 2: Convert to fraction form
    20,530.67/28,332.18 = 11,578.24/x
  3. Step 3: Cross multiply
    20,530.67x = 28,332.18 × 11,578.24
  4. Step 4: Simplify right side
    20,530.67x = 328,036,815.18
  5. Step 5: Solve for x
    x = 328,036,815.18/20,530.67
  6. Step 6: Final answer
    x = 15,977.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.