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Finding the Fourth Proportional to 12,264, 16,924.32 and 6,675.12

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Solution

The fourth proportional to 12,264, 16,924.32 and 6,675.12 is: 9,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264 : 16,924.32 = 6,675.12 : x
  2. Step 2: Convert to fraction form
    12,264/16,924.32 = 6,675.12/x
  3. Step 3: Cross multiply
    12,264x = 16,924.32 × 6,675.12
  4. Step 4: Simplify right side
    12,264x = 112,971,866.92
  5. Step 5: Solve for x
    x = 112,971,866.92/12,264
  6. Step 6: Final answer
    x = 9,211.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.