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Finding the Fourth Proportional to 15,821.60, 21,832.34 and 8,747.87

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Solution

The fourth proportional to 15,821.60, 21,832.34 and 8,747.87 is: 12,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.60 : 21,832.34 = 8,747.87 : x
  2. Step 2: Convert to fraction form
    15,821.60/21,832.34 = 8,747.87/x
  3. Step 3: Cross multiply
    15,821.60x = 21,832.34 × 8,747.87
  4. Step 4: Simplify right side
    15,821.60x = 190,986,319.21
  5. Step 5: Solve for x
    x = 190,986,319.21/15,821.60
  6. Step 6: Final answer
    x = 12,071.24

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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.