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Finding the Fourth Proportional to 16,206, 22,364.28 and 8,754

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Solution

The fourth proportional to 16,206, 22,364.28 and 8,754 is: 12,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206 : 22,364.28 = 8,754 : x
  2. Step 2: Convert to fraction form
    16,206/22,364.28 = 8,754/x
  3. Step 3: Cross multiply
    16,206x = 22,364.28 × 8,754
  4. Step 4: Simplify right side
    16,206x = 195,776,907.12
  5. Step 5: Solve for x
    x = 195,776,907.12/16,206
  6. Step 6: Final answer
    x = 12,080.52

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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.