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Finding the Fourth Proportional to 13,809.67, 19,057.56 and 7,841.50

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Solution

The fourth proportional to 13,809.67, 19,057.56 and 7,841.50 is: 10,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.67 : 19,057.56 = 7,841.50 : x
  2. Step 2: Convert to fraction form
    13,809.67/19,057.56 = 7,841.50/x
  3. Step 3: Cross multiply
    13,809.67x = 19,057.56 × 7,841.50
  4. Step 4: Simplify right side
    13,809.67x = 149,439,856.74
  5. Step 5: Solve for x
    x = 149,439,856.74/13,809.67
  6. Step 6: Final answer
    x = 10,821.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.