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Finding the Fourth Proportional to 16,305.67, 24,458.64 and 5,775.74

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Solution

The fourth proportional to 16,305.67, 24,458.64 and 5,775.74 is: 8,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.67 : 24,458.64 = 5,775.74 : x
  2. Step 2: Convert to fraction form
    16,305.67/24,458.64 = 5,775.74/x
  3. Step 3: Cross multiply
    16,305.67x = 24,458.64 × 5,775.74
  4. Step 4: Simplify right side
    16,305.67x = 141,266,745.39
  5. Step 5: Solve for x
    x = 141,266,745.39/16,305.67
  6. Step 6: Final answer
    x = 8,663.66

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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.