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Finding the Fourth Proportional to 16,416, 24,624.04 and 4,104

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Solution

The fourth proportional to 16,416, 24,624.04 and 4,104 is: 6,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416 : 24,624.04 = 4,104 : x
  2. Step 2: Convert to fraction form
    16,416/24,624.04 = 4,104/x
  3. Step 3: Cross multiply
    16,416x = 24,624.04 × 4,104
  4. Step 4: Simplify right side
    16,416x = 101,057,060.16
  5. Step 5: Solve for x
    x = 101,057,060.16/16,416
  6. Step 6: Final answer
    x = 6,156.01

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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.