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Finding the Fourth Proportional to 13,934.96, 20,904.54 and 4,073

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Solution

The fourth proportional to 13,934.96, 20,904.54 and 4,073 is: 6,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.96 : 20,904.54 = 4,073 : x
  2. Step 2: Convert to fraction form
    13,934.96/20,904.54 = 4,073/x
  3. Step 3: Cross multiply
    13,934.96x = 20,904.54 × 4,073
  4. Step 4: Simplify right side
    13,934.96x = 85,144,191.42
  5. Step 5: Solve for x
    x = 85,144,191.42/13,934.96
  6. Step 6: Final answer
    x = 6,110.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.