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Finding the Fourth Proportional to 16,297.41, 24,430.51 and 5,197.98

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Solution

The fourth proportional to 16,297.41, 24,430.51 and 5,197.98 is: 7,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.41 : 24,430.51 = 5,197.98 : x
  2. Step 2: Convert to fraction form
    16,297.41/24,430.51 = 5,197.98/x
  3. Step 3: Cross multiply
    16,297.41x = 24,430.51 × 5,197.98
  4. Step 4: Simplify right side
    16,297.41x = 126,989,302.37
  5. Step 5: Solve for x
    x = 126,989,302.37/16,297.41
  6. Step 6: Final answer
    x = 7,791.99

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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.