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Finding the Fourth Proportional to 16,400.09, 24,601.95 and 6,011.84

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Solution

The fourth proportional to 16,400.09, 24,601.95 and 6,011.84 is: 9,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.09 : 24,601.95 = 6,011.84 : x
  2. Step 2: Convert to fraction form
    16,400.09/24,601.95 = 6,011.84/x
  3. Step 3: Cross multiply
    16,400.09x = 24,601.95 × 6,011.84
  4. Step 4: Simplify right side
    16,400.09x = 147,902,864.08
  5. Step 5: Solve for x
    x = 147,902,864.08/16,400.09
  6. Step 6: Final answer
    x = 9,018.42

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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.