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Finding the Fourth Proportional to 11,214.47, 16,821.71 and 7,693.81

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Solution

The fourth proportional to 11,214.47, 16,821.71 and 7,693.81 is: 11,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.47 : 16,821.71 = 7,693.81 : x
  2. Step 2: Convert to fraction form
    11,214.47/16,821.71 = 7,693.81/x
  3. Step 3: Cross multiply
    11,214.47x = 16,821.71 × 7,693.81
  4. Step 4: Simplify right side
    11,214.47x = 129,423,010.58
  5. Step 5: Solve for x
    x = 129,423,010.58/11,214.47
  6. Step 6: Final answer
    x = 11,540.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.