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Finding the Fourth Proportional to 13,707.09, 18,914.45 and 7,737.75

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Solution

The fourth proportional to 13,707.09, 18,914.45 and 7,737.75 is: 10,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.09 : 18,914.45 = 7,737.75 : x
  2. Step 2: Convert to fraction form
    13,707.09/18,914.45 = 7,737.75/x
  3. Step 3: Cross multiply
    13,707.09x = 18,914.45 × 7,737.75
  4. Step 4: Simplify right side
    13,707.09x = 146,355,246.80
  5. Step 5: Solve for x
    x = 146,355,246.80/13,707.09
  6. Step 6: Final answer
    x = 10,677.34

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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.