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Finding the Fourth Proportional to 20,499.16, 28,288.50 and 11,546.68

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Solution

The fourth proportional to 20,499.16, 28,288.50 and 11,546.68 is: 15,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,499.16 : 28,288.50 = 11,546.68 : x
  2. Step 2: Convert to fraction form
    20,499.16/28,288.50 = 11,546.68/x
  3. Step 3: Cross multiply
    20,499.16x = 28,288.50 × 11,546.68
  4. Step 4: Simplify right side
    20,499.16x = 326,638,257.18
  5. Step 5: Solve for x
    x = 326,638,257.18/20,499.16
  6. Step 6: Final answer
    x = 15,934.23

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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.