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Finding the Fourth Proportional to 16,148, 24,228.08 and 5,204

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Solution

The fourth proportional to 16,148, 24,228.08 and 5,204 is: 7,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148 : 24,228.08 = 5,204 : x
  2. Step 2: Convert to fraction form
    16,148/24,228.08 = 5,204/x
  3. Step 3: Cross multiply
    16,148x = 24,228.08 × 5,204
  4. Step 4: Simplify right side
    16,148x = 126,082,928.32
  5. Step 5: Solve for x
    x = 126,082,928.32/16,148
  6. Step 6: Final answer
    x = 7,807.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.