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Finding the Fourth Proportional to 12,334.77, 18,384.90 and 11,634.17

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Solution

The fourth proportional to 12,334.77, 18,384.90 and 11,634.17 is: 17,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.77 : 18,384.90 = 11,634.17 : x
  2. Step 2: Convert to fraction form
    12,334.77/18,384.90 = 11,634.17/x
  3. Step 3: Cross multiply
    12,334.77x = 18,384.90 × 11,634.17
  4. Step 4: Simplify right side
    12,334.77x = 213,893,052.03
  5. Step 5: Solve for x
    x = 213,893,052.03/12,334.77
  6. Step 6: Final answer
    x = 17,340.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.