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Finding the Fourth Proportional to 16,201.32, 24,302.52 and 5,813.07

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Solution

The fourth proportional to 16,201.32, 24,302.52 and 5,813.07 is: 8,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.32 : 24,302.52 = 5,813.07 : x
  2. Step 2: Convert to fraction form
    16,201.32/24,302.52 = 5,813.07/x
  3. Step 3: Cross multiply
    16,201.32x = 24,302.52 × 5,813.07
  4. Step 4: Simplify right side
    16,201.32x = 141,272,249.94
  5. Step 5: Solve for x
    x = 141,272,249.94/16,201.32
  6. Step 6: Final answer
    x = 8,719.80

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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.