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Finding the Fourth Proportional to 16,357.12, 24,529.60 and 6,493.44

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Solution

The fourth proportional to 16,357.12, 24,529.60 and 6,493.44 is: 9,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.12 : 24,529.60 = 6,493.44 : x
  2. Step 2: Convert to fraction form
    16,357.12/24,529.60 = 6,493.44/x
  3. Step 3: Cross multiply
    16,357.12x = 24,529.60 × 6,493.44
  4. Step 4: Simplify right side
    16,357.12x = 159,281,485.82
  5. Step 5: Solve for x
    x = 159,281,485.82/16,357.12
  6. Step 6: Final answer
    x = 9,737.75

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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.