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Finding the Fourth Proportional to 14,142.64, 19,508.22 and 10,169.14

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Solution

The fourth proportional to 14,142.64, 19,508.22 and 10,169.14 is: 14,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.64 : 19,508.22 = 10,169.14 : x
  2. Step 2: Convert to fraction form
    14,142.64/19,508.22 = 10,169.14/x
  3. Step 3: Cross multiply
    14,142.64x = 19,508.22 × 10,169.14
  4. Step 4: Simplify right side
    14,142.64x = 198,381,820.33
  5. Step 5: Solve for x
    x = 198,381,820.33/14,142.64
  6. Step 6: Final answer
    x = 14,027.21

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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.