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Finding the Fourth Proportional to 16,838, 23,236.44 and 9,386

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Solution

The fourth proportional to 16,838, 23,236.44 and 9,386 is: 12,952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838 : 23,236.44 = 9,386 : x
  2. Step 2: Convert to fraction form
    16,838/23,236.44 = 9,386/x
  3. Step 3: Cross multiply
    16,838x = 23,236.44 × 9,386
  4. Step 4: Simplify right side
    16,838x = 218,097,225.84
  5. Step 5: Solve for x
    x = 218,097,225.84/16,838
  6. Step 6: Final answer
    x = 12,952.68

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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.