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Finding the Fourth Proportional to 18,416, 27,624.08 and 6,104

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Solution

The fourth proportional to 18,416, 27,624.08 and 6,104 is: 9,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,416 : 27,624.08 = 6,104 : x
  2. Step 2: Convert to fraction form
    18,416/27,624.08 = 6,104/x
  3. Step 3: Cross multiply
    18,416x = 27,624.08 × 6,104
  4. Step 4: Simplify right side
    18,416x = 168,617,384.32
  5. Step 5: Solve for x
    x = 168,617,384.32/18,416
  6. Step 6: Final answer
    x = 9,156.03

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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.