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Finding the Fourth Proportional to 16,584.76, 22,882.44 and 11,543.32

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Solution

The fourth proportional to 16,584.76, 22,882.44 and 11,543.32 is: 15,926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.76 : 22,882.44 = 11,543.32 : x
  2. Step 2: Convert to fraction form
    16,584.76/22,882.44 = 11,543.32/x
  3. Step 3: Cross multiply
    16,584.76x = 22,882.44 × 11,543.32
  4. Step 4: Simplify right side
    16,584.76x = 264,139,327.30
  5. Step 5: Solve for x
    x = 264,139,327.30/16,584.76
  6. Step 6: Final answer
    x = 15,926.63

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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.