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Finding the Fourth Proportional to 14,138.10, 19,511.46 and 8,170.02

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Solution

The fourth proportional to 14,138.10, 19,511.46 and 8,170.02 is: 11,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.10 : 19,511.46 = 8,170.02 : x
  2. Step 2: Convert to fraction form
    14,138.10/19,511.46 = 8,170.02/x
  3. Step 3: Cross multiply
    14,138.10x = 19,511.46 × 8,170.02
  4. Step 4: Simplify right side
    14,138.10x = 159,409,018.43
  5. Step 5: Solve for x
    x = 159,409,018.43/14,138.10
  6. Step 6: Final answer
    x = 11,275.14

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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.