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Finding the Fourth Proportional to 16,424.96, 24,638.74 and 6,558.82

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Solution

The fourth proportional to 16,424.96, 24,638.74 and 6,558.82 is: 9,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.96 : 24,638.74 = 6,558.82 : x
  2. Step 2: Convert to fraction form
    16,424.96/24,638.74 = 6,558.82/x
  3. Step 3: Cross multiply
    16,424.96x = 24,638.74 × 6,558.82
  4. Step 4: Simplify right side
    16,424.96x = 161,601,060.69
  5. Step 5: Solve for x
    x = 161,601,060.69/16,424.96
  6. Step 6: Final answer
    x = 9,838.75

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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.