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Finding the Fourth Proportional to 12,210.84, 16,858.52 and 9,372.78

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Solution

The fourth proportional to 12,210.84, 16,858.52 and 9,372.78 is: 12,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.84 : 16,858.52 = 9,372.78 : x
  2. Step 2: Convert to fraction form
    12,210.84/16,858.52 = 9,372.78/x
  3. Step 3: Cross multiply
    12,210.84x = 16,858.52 × 9,372.78
  4. Step 4: Simplify right side
    12,210.84x = 158,011,162.38
  5. Step 5: Solve for x
    x = 158,011,162.38/12,210.84
  6. Step 6: Final answer
    x = 12,940.24

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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.