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Finding the Fourth Proportional to 21,007.60, 31,481.70 and 11,651.74

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Solution

The fourth proportional to 21,007.60, 31,481.70 and 11,651.74 is: 17,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.60 : 31,481.70 = 11,651.74 : x
  2. Step 2: Convert to fraction form
    21,007.60/31,481.70 = 11,651.74/x
  3. Step 3: Cross multiply
    21,007.60x = 31,481.70 × 11,651.74
  4. Step 4: Simplify right side
    21,007.60x = 366,816,583.16
  5. Step 5: Solve for x
    x = 366,816,583.16/21,007.60
  6. Step 6: Final answer
    x = 17,461.14

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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.