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Finding the Fourth Proportional to 13,820.76, 19,073.52 and 7,850.16

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Solution

The fourth proportional to 13,820.76, 19,073.52 and 7,850.16 is: 10,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.76 : 19,073.52 = 7,850.16 : x
  2. Step 2: Convert to fraction form
    13,820.76/19,073.52 = 7,850.16/x
  3. Step 3: Cross multiply
    13,820.76x = 19,073.52 × 7,850.16
  4. Step 4: Simplify right side
    13,820.76x = 149,730,183.76
  5. Step 5: Solve for x
    x = 149,730,183.76/13,820.76
  6. Step 6: Final answer
    x = 10,833.72

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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.