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Finding the Fourth Proportional to 14,422.16, 19,906.19 and 8,138.18

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Solution

The fourth proportional to 14,422.16, 19,906.19 and 8,138.18 is: 11,232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.16 : 19,906.19 = 8,138.18 : x
  2. Step 2: Convert to fraction form
    14,422.16/19,906.19 = 8,138.18/x
  3. Step 3: Cross multiply
    14,422.16x = 19,906.19 × 8,138.18
  4. Step 4: Simplify right side
    14,422.16x = 162,000,017.11
  5. Step 5: Solve for x
    x = 162,000,017.11/14,422.16
  6. Step 6: Final answer
    x = 11,232.72

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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.