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Finding the Fourth Proportional to 16,382.72, 22,601.76 and 9,211

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Solution

The fourth proportional to 16,382.72, 22,601.76 and 9,211 is: 12,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.72 : 22,601.76 = 9,211 : x
  2. Step 2: Convert to fraction form
    16,382.72/22,601.76 = 9,211/x
  3. Step 3: Cross multiply
    16,382.72x = 22,601.76 × 9,211
  4. Step 4: Simplify right side
    16,382.72x = 208,184,811.36
  5. Step 5: Solve for x
    x = 208,184,811.36/16,382.72
  6. Step 6: Final answer
    x = 12,707.59

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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.