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Finding the Fourth Proportional to 21,491.43, 29,657.73 and 11,930.76

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Solution

The fourth proportional to 21,491.43, 29,657.73 and 11,930.76 is: 16,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.43 : 29,657.73 = 11,930.76 : x
  2. Step 2: Convert to fraction form
    21,491.43/29,657.73 = 11,930.76/x
  3. Step 3: Cross multiply
    21,491.43x = 29,657.73 × 11,930.76
  4. Step 4: Simplify right side
    21,491.43x = 353,839,258.77
  5. Step 5: Solve for x
    x = 353,839,258.77/21,491.43
  6. Step 6: Final answer
    x = 16,464.20

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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.