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Finding the Fourth Proportional to 12,416, 18,624.48 and 4,208

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Solution

The fourth proportional to 12,416, 18,624.48 and 4,208 is: 6,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416 : 18,624.48 = 4,208 : x
  2. Step 2: Convert to fraction form
    12,416/18,624.48 = 4,208/x
  3. Step 3: Cross multiply
    12,416x = 18,624.48 × 4,208
  4. Step 4: Simplify right side
    12,416x = 78,371,811.84
  5. Step 5: Solve for x
    x = 78,371,811.84/12,416
  6. Step 6: Final answer
    x = 6,312.16

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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.