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Finding the Fourth Proportional to 13,707.60, 18,917.37 and 7,737.09

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Solution

The fourth proportional to 13,707.60, 18,917.37 and 7,737.09 is: 10,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.60 : 18,917.37 = 7,737.09 : x
  2. Step 2: Convert to fraction form
    13,707.60/18,917.37 = 7,737.09/x
  3. Step 3: Cross multiply
    13,707.60x = 18,917.37 × 7,737.09
  4. Step 4: Simplify right side
    13,707.60x = 146,365,422.20
  5. Step 5: Solve for x
    x = 146,365,422.20/13,707.60
  6. Step 6: Final answer
    x = 10,677.68

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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.