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Finding the Fourth Proportional to 13,445.82, 18,555.83 and 7,780.84

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Solution

The fourth proportional to 13,445.82, 18,555.83 and 7,780.84 is: 10,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,445.82 : 18,555.83 = 7,780.84 : x
  2. Step 2: Convert to fraction form
    13,445.82/18,555.83 = 7,780.84/x
  3. Step 3: Cross multiply
    13,445.82x = 18,555.83 × 7,780.84
  4. Step 4: Simplify right side
    13,445.82x = 144,379,870.97
  5. Step 5: Solve for x
    x = 144,379,870.97/13,445.82
  6. Step 6: Final answer
    x = 10,737.90

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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.