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Finding the Fourth Proportional to 13,705.52, 18,912.56 and 7,737.77

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Solution

The fourth proportional to 13,705.52, 18,912.56 and 7,737.77 is: 10,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.52 : 18,912.56 = 7,737.77 : x
  2. Step 2: Convert to fraction form
    13,705.52/18,912.56 = 7,737.77/x
  3. Step 3: Cross multiply
    13,705.52x = 18,912.56 × 7,737.77
  4. Step 4: Simplify right side
    13,705.52x = 146,341,047.98
  5. Step 5: Solve for x
    x = 146,341,047.98/13,705.52
  6. Step 6: Final answer
    x = 10,677.53

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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.