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Finding the Fourth Proportional to 15,137.45, 22,705.91 and 6,811.57

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Solution

The fourth proportional to 15,137.45, 22,705.91 and 6,811.57 is: 10,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.45 : 22,705.91 = 6,811.57 : x
  2. Step 2: Convert to fraction form
    15,137.45/22,705.91 = 6,811.57/x
  3. Step 3: Cross multiply
    15,137.45x = 22,705.91 × 6,811.57
  4. Step 4: Simplify right side
    15,137.45x = 154,662,804.56
  5. Step 5: Solve for x
    x = 154,662,804.56/15,137.45
  6. Step 6: Final answer
    x = 10,217.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.