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Finding the Fourth Proportional to 13,846.92, 20,737.26 and 7,597.32

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Solution

The fourth proportional to 13,846.92, 20,737.26 and 7,597.32 is: 11,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.92 : 20,737.26 = 7,597.32 : x
  2. Step 2: Convert to fraction form
    13,846.92/20,737.26 = 7,597.32/x
  3. Step 3: Cross multiply
    13,846.92x = 20,737.26 × 7,597.32
  4. Step 4: Simplify right side
    13,846.92x = 157,547,600.14
  5. Step 5: Solve for x
    x = 157,547,600.14/13,846.92
  6. Step 6: Final answer
    x = 11,377.81

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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.