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Finding the Fourth Proportional to 13,772.50, 19,006.45 and 7,803.96

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Solution

The fourth proportional to 13,772.50, 19,006.45 and 7,803.96 is: 10,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.50 : 19,006.45 = 7,803.96 : x
  2. Step 2: Convert to fraction form
    13,772.50/19,006.45 = 7,803.96/x
  3. Step 3: Cross multiply
    13,772.50x = 19,006.45 × 7,803.96
  4. Step 4: Simplify right side
    13,772.50x = 148,325,591.67
  5. Step 5: Solve for x
    x = 148,325,591.67/13,772.50
  6. Step 6: Final answer
    x = 10,769.69

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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.