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Finding the Fourth Proportional to 21,313.40, 31,970.04 and 5,729.72

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Solution

The fourth proportional to 21,313.40, 31,970.04 and 5,729.72 is: 8,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.40 : 31,970.04 = 5,729.72 : x
  2. Step 2: Convert to fraction form
    21,313.40/31,970.04 = 5,729.72/x
  3. Step 3: Cross multiply
    21,313.40x = 31,970.04 × 5,729.72
  4. Step 4: Simplify right side
    21,313.40x = 183,179,377.59
  5. Step 5: Solve for x
    x = 183,179,377.59/21,313.40
  6. Step 6: Final answer
    x = 8,594.56

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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.