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Finding the Fourth Proportional to 19,696.77, 29,546.98 and 13,102.97

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Solution

The fourth proportional to 19,696.77, 29,546.98 and 13,102.97 is: 19,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.77 : 29,546.98 = 13,102.97 : x
  2. Step 2: Convert to fraction form
    19,696.77/29,546.98 = 13,102.97/x
  3. Step 3: Cross multiply
    19,696.77x = 29,546.98 × 13,102.97
  4. Step 4: Simplify right side
    19,696.77x = 387,153,012.04
  5. Step 5: Solve for x
    x = 387,153,012.04/19,696.77
  6. Step 6: Final answer
    x = 19,655.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.