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Finding the Fourth Proportional to 21,685.83, 29,926.22 and 11,749.83

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Solution

The fourth proportional to 21,685.83, 29,926.22 and 11,749.83 is: 16,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685.83 : 29,926.22 = 11,749.83 : x
  2. Step 2: Convert to fraction form
    21,685.83/29,926.22 = 11,749.83/x
  3. Step 3: Cross multiply
    21,685.83x = 29,926.22 × 11,749.83
  4. Step 4: Simplify right side
    21,685.83x = 351,627,938.79
  5. Step 5: Solve for x
    x = 351,627,938.79/21,685.83
  6. Step 6: Final answer
    x = 16,214.64

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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.