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Finding the Fourth Proportional to 16,234.38, 24,342.93 and 9,573.66

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Solution

The fourth proportional to 16,234.38, 24,342.93 and 9,573.66 is: 14,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.38 : 24,342.93 = 9,573.66 : x
  2. Step 2: Convert to fraction form
    16,234.38/24,342.93 = 9,573.66/x
  3. Step 3: Cross multiply
    16,234.38x = 24,342.93 × 9,573.66
  4. Step 4: Simplify right side
    16,234.38x = 233,050,935.22
  5. Step 5: Solve for x
    x = 233,050,935.22/16,234.38
  6. Step 6: Final answer
    x = 14,355.39

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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.