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Finding the Fourth Proportional to 15,083.56, 22,638.54 and 8,069.16

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Solution

The fourth proportional to 15,083.56, 22,638.54 and 8,069.16 is: 12,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083.56 : 22,638.54 = 8,069.16 : x
  2. Step 2: Convert to fraction form
    15,083.56/22,638.54 = 8,069.16/x
  3. Step 3: Cross multiply
    15,083.56x = 22,638.54 × 8,069.16
  4. Step 4: Simplify right side
    15,083.56x = 182,674,001.43
  5. Step 5: Solve for x
    x = 182,674,001.43/15,083.56
  6. Step 6: Final answer
    x = 12,110.80

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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.