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Finding the Fourth Proportional to 15,970.50, 22,015.65 and 10,227.34

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Solution

The fourth proportional to 15,970.50, 22,015.65 and 10,227.34 is: 14,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.50 : 22,015.65 = 10,227.34 : x
  2. Step 2: Convert to fraction form
    15,970.50/22,015.65 = 10,227.34/x
  3. Step 3: Cross multiply
    15,970.50x = 22,015.65 × 10,227.34
  4. Step 4: Simplify right side
    15,970.50x = 225,161,537.87
  5. Step 5: Solve for x
    x = 225,161,537.87/15,970.50
  6. Step 6: Final answer
    x = 14,098.59

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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.