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Finding the Fourth Proportional to 12,504.17, 17,264.79 and 7,730.66

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Solution

The fourth proportional to 12,504.17, 17,264.79 and 7,730.66 is: 10,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.17 : 17,264.79 = 7,730.66 : x
  2. Step 2: Convert to fraction form
    12,504.17/17,264.79 = 7,730.66/x
  3. Step 3: Cross multiply
    12,504.17x = 17,264.79 × 7,730.66
  4. Step 4: Simplify right side
    12,504.17x = 133,468,106.15
  5. Step 5: Solve for x
    x = 133,468,106.15/12,504.17
  6. Step 6: Final answer
    x = 10,673.89

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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.