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Finding the Fourth Proportional to 21,148.70, 31,735.20 and 8,002.40

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Solution

The fourth proportional to 21,148.70, 31,735.20 and 8,002.40 is: 12,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.70 : 31,735.20 = 8,002.40 : x
  2. Step 2: Convert to fraction form
    21,148.70/31,735.20 = 8,002.40/x
  3. Step 3: Cross multiply
    21,148.70x = 31,735.20 × 8,002.40
  4. Step 4: Simplify right side
    21,148.70x = 253,957,764.48
  5. Step 5: Solve for x
    x = 253,957,764.48/21,148.70
  6. Step 6: Final answer
    x = 12,008.20

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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.