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Finding the Fourth Proportional to 15,822.09, 21,834.92 and 8,748.77

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Solution

The fourth proportional to 15,822.09, 21,834.92 and 8,748.77 is: 12,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.09 : 21,834.92 = 8,748.77 : x
  2. Step 2: Convert to fraction form
    15,822.09/21,834.92 = 8,748.77/x
  3. Step 3: Cross multiply
    15,822.09x = 21,834.92 × 8,748.77
  4. Step 4: Simplify right side
    15,822.09x = 191,028,540.13
  5. Step 5: Solve for x
    x = 191,028,540.13/15,822.09
  6. Step 6: Final answer
    x = 12,073.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.