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Finding the Fourth Proportional to 16,232.68, 24,346.78 and 6,997.48

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Solution

The fourth proportional to 16,232.68, 24,346.78 and 6,997.48 is: 10,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.68 : 24,346.78 = 6,997.48 : x
  2. Step 2: Convert to fraction form
    16,232.68/24,346.78 = 6,997.48/x
  3. Step 3: Cross multiply
    16,232.68x = 24,346.78 × 6,997.48
  4. Step 4: Simplify right side
    16,232.68x = 170,366,106.11
  5. Step 5: Solve for x
    x = 170,366,106.11/16,232.68
  6. Step 6: Final answer
    x = 10,495.25

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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.