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Finding the Fourth Proportional to 12,894.66, 17,794.68 and 7,520.81

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Solution

The fourth proportional to 12,894.66, 17,794.68 and 7,520.81 is: 10,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.66 : 17,794.68 = 7,520.81 : x
  2. Step 2: Convert to fraction form
    12,894.66/17,794.68 = 7,520.81/x
  3. Step 3: Cross multiply
    12,894.66x = 17,794.68 × 7,520.81
  4. Step 4: Simplify right side
    12,894.66x = 133,830,418.95
  5. Step 5: Solve for x
    x = 133,830,418.95/12,894.66
  6. Step 6: Final answer
    x = 10,378.75

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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.