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Finding the Fourth Proportional to 12,966.63, 17,894.06 and 7,377.99

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Solution

The fourth proportional to 12,966.63, 17,894.06 and 7,377.99 is: 10,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.63 : 17,894.06 = 7,377.99 : x
  2. Step 2: Convert to fraction form
    12,966.63/17,894.06 = 7,377.99/x
  3. Step 3: Cross multiply
    12,966.63x = 17,894.06 × 7,377.99
  4. Step 4: Simplify right side
    12,966.63x = 132,022,158.85
  5. Step 5: Solve for x
    x = 132,022,158.85/12,966.63
  6. Step 6: Final answer
    x = 10,181.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.