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Finding the Fourth Proportional to 16,477.56, 24,699.15 and 8,152.38

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Solution

The fourth proportional to 16,477.56, 24,699.15 and 8,152.38 is: 12,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.56 : 24,699.15 = 8,152.38 : x
  2. Step 2: Convert to fraction form
    16,477.56/24,699.15 = 8,152.38/x
  3. Step 3: Cross multiply
    16,477.56x = 24,699.15 × 8,152.38
  4. Step 4: Simplify right side
    16,477.56x = 201,356,856.48
  5. Step 5: Solve for x
    x = 201,356,856.48/16,477.56
  6. Step 6: Final answer
    x = 12,220.07

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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.