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Finding the Fourth Proportional to 20,484.68, 28,270.26 and 11,533

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Solution

The fourth proportional to 20,484.68, 28,270.26 and 11,533 is: 15,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,484.68 : 28,270.26 = 11,533 : x
  2. Step 2: Convert to fraction form
    20,484.68/28,270.26 = 11,533/x
  3. Step 3: Cross multiply
    20,484.68x = 28,270.26 × 11,533
  4. Step 4: Simplify right side
    20,484.68x = 326,040,908.58
  5. Step 5: Solve for x
    x = 326,040,908.58/20,484.68
  6. Step 6: Final answer
    x = 15,916.33

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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.