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Finding the Fourth Proportional to 31,516.80, 47,296.80 and 13,999.20

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Solution

The fourth proportional to 31,516.80, 47,296.80 and 13,999.20 is: 21,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516.80 : 47,296.80 = 13,999.20 : x
  2. Step 2: Convert to fraction form
    31,516.80/47,296.80 = 13,999.20/x
  3. Step 3: Cross multiply
    31,516.80x = 47,296.80 × 13,999.20
  4. Step 4: Simplify right side
    31,516.80x = 662,117,362.56
  5. Step 5: Solve for x
    x = 662,117,362.56/31,516.80
  6. Step 6: Final answer
    x = 21,008.39

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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.