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Finding the Fourth Proportional to 13,834.71, 19,086.26 and 9,645.39

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Solution

The fourth proportional to 13,834.71, 19,086.26 and 9,645.39 is: 13,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.71 : 19,086.26 = 9,645.39 : x
  2. Step 2: Convert to fraction form
    13,834.71/19,086.26 = 9,645.39/x
  3. Step 3: Cross multiply
    13,834.71x = 19,086.26 × 9,645.39
  4. Step 4: Simplify right side
    13,834.71x = 184,094,421.34
  5. Step 5: Solve for x
    x = 184,094,421.34/13,834.71
  6. Step 6: Final answer
    x = 13,306.71

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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.