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Finding the Fourth Proportional to 13,892.29, 19,151.40 and 9,906.49

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Solution

The fourth proportional to 13,892.29, 19,151.40 and 9,906.49 is: 13,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.29 : 19,151.40 = 9,906.49 : x
  2. Step 2: Convert to fraction form
    13,892.29/19,151.40 = 9,906.49/x
  3. Step 3: Cross multiply
    13,892.29x = 19,151.40 × 9,906.49
  4. Step 4: Simplify right side
    13,892.29x = 189,723,152.59
  5. Step 5: Solve for x
    x = 189,723,152.59/13,892.29
  6. Step 6: Final answer
    x = 13,656.72

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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.