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Finding the Fourth Proportional to 16,786, 23,164.76 and 9,334

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Solution

The fourth proportional to 16,786, 23,164.76 and 9,334 is: 12,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,786 : 23,164.76 = 9,334 : x
  2. Step 2: Convert to fraction form
    16,786/23,164.76 = 9,334/x
  3. Step 3: Cross multiply
    16,786x = 23,164.76 × 9,334
  4. Step 4: Simplify right side
    16,786x = 216,219,869.84
  5. Step 5: Solve for x
    x = 216,219,869.84/16,786
  6. Step 6: Final answer
    x = 12,880.96

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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.