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Finding the Fourth Proportional to 12,696.83, 17,523.69 and 7,592

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Solution

The fourth proportional to 12,696.83, 17,523.69 and 7,592 is: 10,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.83 : 17,523.69 = 7,592 : x
  2. Step 2: Convert to fraction form
    12,696.83/17,523.69 = 7,592/x
  3. Step 3: Cross multiply
    12,696.83x = 17,523.69 × 7,592
  4. Step 4: Simplify right side
    12,696.83x = 133,039,854.48
  5. Step 5: Solve for x
    x = 133,039,854.48/12,696.83
  6. Step 6: Final answer
    x = 10,478.19

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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.