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Finding the Fourth Proportional to 16,299.09, 24,444.45 and 6,438.42

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Solution

The fourth proportional to 16,299.09, 24,444.45 and 6,438.42 is: 9,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.09 : 24,444.45 = 6,438.42 : x
  2. Step 2: Convert to fraction form
    16,299.09/24,444.45 = 6,438.42/x
  3. Step 3: Cross multiply
    16,299.09x = 24,444.45 × 6,438.42
  4. Step 4: Simplify right side
    16,299.09x = 157,383,635.77
  5. Step 5: Solve for x
    x = 157,383,635.77/16,299.09
  6. Step 6: Final answer
    x = 9,655.98

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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.