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Finding the Fourth Proportional to 12,476.50, 17,212.41 and 8,232.31

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Solution

The fourth proportional to 12,476.50, 17,212.41 and 8,232.31 is: 11,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.50 : 17,212.41 = 8,232.31 : x
  2. Step 2: Convert to fraction form
    12,476.50/17,212.41 = 8,232.31/x
  3. Step 3: Cross multiply
    12,476.50x = 17,212.41 × 8,232.31
  4. Step 4: Simplify right side
    12,476.50x = 141,697,894.97
  5. Step 5: Solve for x
    x = 141,697,894.97/12,476.50
  6. Step 6: Final answer
    x = 11,357.18

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1.5x scale

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.