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Finding the Fourth Proportional to 13,114.68, 18,097.62 and 7,447.92

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Solution

The fourth proportional to 13,114.68, 18,097.62 and 7,447.92 is: 10,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.68 : 18,097.62 = 7,447.92 : x
  2. Step 2: Convert to fraction form
    13,114.68/18,097.62 = 7,447.92/x
  3. Step 3: Cross multiply
    13,114.68x = 18,097.62 × 7,447.92
  4. Step 4: Simplify right side
    13,114.68x = 134,789,625.95
  5. Step 5: Solve for x
    x = 134,789,625.95/13,114.68
  6. Step 6: Final answer
    x = 10,277.77

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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.