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Finding the Fourth Proportional to 16,340, 22,549.22 and 8,888

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Solution

The fourth proportional to 16,340, 22,549.22 and 8,888 is: 12,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340 : 22,549.22 = 8,888 : x
  2. Step 2: Convert to fraction form
    16,340/22,549.22 = 8,888/x
  3. Step 3: Cross multiply
    16,340x = 22,549.22 × 8,888
  4. Step 4: Simplify right side
    16,340x = 200,417,467.36
  5. Step 5: Solve for x
    x = 200,417,467.36/16,340
  6. Step 6: Final answer
    x = 12,265.45

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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.