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Finding the Fourth Proportional to 16,193.85, 24,291.38 and 5,661.81

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Solution

The fourth proportional to 16,193.85, 24,291.38 and 5,661.81 is: 8,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.85 : 24,291.38 = 5,661.81 : x
  2. Step 2: Convert to fraction form
    16,193.85/24,291.38 = 5,661.81/x
  3. Step 3: Cross multiply
    16,193.85x = 24,291.38 × 5,661.81
  4. Step 4: Simplify right side
    16,193.85x = 137,533,178.20
  5. Step 5: Solve for x
    x = 137,533,178.20/16,193.85
  6. Step 6: Final answer
    x = 8,492.93

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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.