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Finding the Fourth Proportional to 13,776.72, 20,750.10 and 12,578.16

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Solution

The fourth proportional to 13,776.72, 20,750.10 and 12,578.16 is: 18,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.72 : 20,750.10 = 12,578.16 : x
  2. Step 2: Convert to fraction form
    13,776.72/20,750.10 = 12,578.16/x
  3. Step 3: Cross multiply
    13,776.72x = 20,750.10 × 12,578.16
  4. Step 4: Simplify right side
    13,776.72x = 260,998,077.82
  5. Step 5: Solve for x
    x = 260,998,077.82/13,776.72
  6. Step 6: Final answer
    x = 18,944.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.