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Finding the Fourth Proportional to 20,523.69, 28,322.64 and 11,092.23

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Solution

The fourth proportional to 20,523.69, 28,322.64 and 11,092.23 is: 15,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.69 : 28,322.64 = 11,092.23 : x
  2. Step 2: Convert to fraction form
    20,523.69/28,322.64 = 11,092.23/x
  3. Step 3: Cross multiply
    20,523.69x = 28,322.64 × 11,092.23
  4. Step 4: Simplify right side
    20,523.69x = 314,161,237.09
  5. Step 5: Solve for x
    x = 314,161,237.09/20,523.69
  6. Step 6: Final answer
    x = 15,307.25

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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.