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Finding the Fourth Proportional to 14,311.42, 19,749.93 and 7,938.15

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Solution

The fourth proportional to 14,311.42, 19,749.93 and 7,938.15 is: 10,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.42 : 19,749.93 = 7,938.15 : x
  2. Step 2: Convert to fraction form
    14,311.42/19,749.93 = 7,938.15/x
  3. Step 3: Cross multiply
    14,311.42x = 19,749.93 × 7,938.15
  4. Step 4: Simplify right side
    14,311.42x = 156,777,906.83
  5. Step 5: Solve for x
    x = 156,777,906.83/14,311.42
  6. Step 6: Final answer
    x = 10,954.74

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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.