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Finding the Fourth Proportional to 12,786.66, 19,105.88 and 10,006.74

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Solution

The fourth proportional to 12,786.66, 19,105.88 and 10,006.74 is: 14,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.66 : 19,105.88 = 10,006.74 : x
  2. Step 2: Convert to fraction form
    12,786.66/19,105.88 = 10,006.74/x
  3. Step 3: Cross multiply
    12,786.66x = 19,105.88 × 10,006.74
  4. Step 4: Simplify right side
    12,786.66x = 191,187,523.60
  5. Step 5: Solve for x
    x = 191,187,523.60/12,786.66
  6. Step 6: Final answer
    x = 14,952.11

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