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Finding the Fourth Proportional to 21,154.70, 31,729.64 and 5,573.54

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Solution

The fourth proportional to 21,154.70, 31,729.64 and 5,573.54 is: 8,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.70 : 31,729.64 = 5,573.54 : x
  2. Step 2: Convert to fraction form
    21,154.70/31,729.64 = 5,573.54/x
  3. Step 3: Cross multiply
    21,154.70x = 31,729.64 × 5,573.54
  4. Step 4: Simplify right side
    21,154.70x = 176,846,417.73
  5. Step 5: Solve for x
    x = 176,846,417.73/21,154.70
  6. Step 6: Final answer
    x = 8,359.68

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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.