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Finding the Fourth Proportional to 21,058.32, 31,560.16 and 8,563.80

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Solution

The fourth proportional to 21,058.32, 31,560.16 and 8,563.80 is: 12,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,058.32 : 31,560.16 = 8,563.80 : x
  2. Step 2: Convert to fraction form
    21,058.32/31,560.16 = 8,563.80/x
  3. Step 3: Cross multiply
    21,058.32x = 31,560.16 × 8,563.80
  4. Step 4: Simplify right side
    21,058.32x = 270,274,898.21
  5. Step 5: Solve for x
    x = 270,274,898.21/21,058.32
  6. Step 6: Final answer
    x = 12,834.59

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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.