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Finding the Fourth Proportional to 16,232.16, 24,344.40 and 7,461.60

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Solution

The fourth proportional to 16,232.16, 24,344.40 and 7,461.60 is: 11,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.16 : 24,344.40 = 7,461.60 : x
  2. Step 2: Convert to fraction form
    16,232.16/24,344.40 = 7,461.60/x
  3. Step 3: Cross multiply
    16,232.16x = 24,344.40 × 7,461.60
  4. Step 4: Simplify right side
    16,232.16x = 181,648,175.04
  5. Step 5: Solve for x
    x = 181,648,175.04/16,232.16
  6. Step 6: Final answer
    x = 11,190.63

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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.