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Finding the Fourth Proportional to 21,002.39, 31,503.09 and 8,519.06

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Solution

The fourth proportional to 21,002.39, 31,503.09 and 8,519.06 is: 12,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.39 : 31,503.09 = 8,519.06 : x
  2. Step 2: Convert to fraction form
    21,002.39/31,503.09 = 8,519.06/x
  3. Step 3: Cross multiply
    21,002.39x = 31,503.09 × 8,519.06
  4. Step 4: Simplify right side
    21,002.39x = 268,376,713.90
  5. Step 5: Solve for x
    x = 268,376,713.90/21,002.39
  6. Step 6: Final answer
    x = 12,778.39

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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.