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Finding the Fourth Proportional to 10,061.96, 15,083.55 and 9,231.57

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Solution

The fourth proportional to 10,061.96, 15,083.55 and 9,231.57 is: 13,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.96 : 15,083.55 = 9,231.57 : x
  2. Step 2: Convert to fraction form
    10,061.96/15,083.55 = 9,231.57/x
  3. Step 3: Cross multiply
    10,061.96x = 15,083.55 × 9,231.57
  4. Step 4: Simplify right side
    10,061.96x = 139,244,847.67
  5. Step 5: Solve for x
    x = 139,244,847.67/10,061.96
  6. Step 6: Final answer
    x = 13,838.75

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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.