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Finding the Fourth Proportional to 14,102.42, 19,442.90 and 12,134.12

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Solution

The fourth proportional to 14,102.42, 19,442.90 and 12,134.12 is: 16,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.42 : 19,442.90 = 12,134.12 : x
  2. Step 2: Convert to fraction form
    14,102.42/19,442.90 = 12,134.12/x
  3. Step 3: Cross multiply
    14,102.42x = 19,442.90 × 12,134.12
  4. Step 4: Simplify right side
    14,102.42x = 235,922,481.75
  5. Step 5: Solve for x
    x = 235,922,481.75/14,102.42
  6. Step 6: Final answer
    x = 16,729.22

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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.