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Finding the Fourth Proportional to 14,447.64, 19,937.57 and 8,074.34

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Solution

The fourth proportional to 14,447.64, 19,937.57 and 8,074.34 is: 11,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.64 : 19,937.57 = 8,074.34 : x
  2. Step 2: Convert to fraction form
    14,447.64/19,937.57 = 8,074.34/x
  3. Step 3: Cross multiply
    14,447.64x = 19,937.57 × 8,074.34
  4. Step 4: Simplify right side
    14,447.64x = 160,982,578.89
  5. Step 5: Solve for x
    x = 160,982,578.89/14,447.64
  6. Step 6: Final answer
    x = 11,142.48

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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.