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Finding the Fourth Proportional to 16,157.60, 24,243.08 and 7,146.98

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Solution

The fourth proportional to 16,157.60, 24,243.08 and 7,146.98 is: 10,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.60 : 24,243.08 = 7,146.98 : x
  2. Step 2: Convert to fraction form
    16,157.60/24,243.08 = 7,146.98/x
  3. Step 3: Cross multiply
    16,157.60x = 24,243.08 × 7,146.98
  4. Step 4: Simplify right side
    16,157.60x = 173,264,650.95
  5. Step 5: Solve for x
    x = 173,264,650.95/16,157.60
  6. Step 6: Final answer
    x = 10,723.42

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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.