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Finding the Fourth Proportional to 21,002.07, 31,502.88 and 8,519.13

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Solution

The fourth proportional to 21,002.07, 31,502.88 and 8,519.13 is: 12,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.07 : 31,502.88 = 8,519.13 : x
  2. Step 2: Convert to fraction form
    21,002.07/31,502.88 = 8,519.13/x
  3. Step 3: Cross multiply
    21,002.07x = 31,502.88 × 8,519.13
  4. Step 4: Simplify right side
    21,002.07x = 268,377,130.09
  5. Step 5: Solve for x
    x = 268,377,130.09/21,002.07
  6. Step 6: Final answer
    x = 12,778.60

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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.