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Finding the Fourth Proportional to 21,003.68, 31,514.23 and 8,520.57

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Solution

The fourth proportional to 21,003.68, 31,514.23 and 8,520.57 is: 12,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003.68 : 31,514.23 = 8,520.57 : x
  2. Step 2: Convert to fraction form
    21,003.68/31,514.23 = 8,520.57/x
  3. Step 3: Cross multiply
    21,003.68x = 31,514.23 × 8,520.57
  4. Step 4: Simplify right side
    21,003.68x = 268,519,202.71
  5. Step 5: Solve for x
    x = 268,519,202.71/21,003.68
  6. Step 6: Final answer
    x = 12,784.39

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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.