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Finding the Fourth Proportional to 12,838.51, 17,717.97 and 7,531.39

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Solution

The fourth proportional to 12,838.51, 17,717.97 and 7,531.39 is: 10,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.51 : 17,717.97 = 7,531.39 : x
  2. Step 2: Convert to fraction form
    12,838.51/17,717.97 = 7,531.39/x
  3. Step 3: Cross multiply
    12,838.51x = 17,717.97 × 7,531.39
  4. Step 4: Simplify right side
    12,838.51x = 133,440,942.08
  5. Step 5: Solve for x
    x = 133,440,942.08/12,838.51
  6. Step 6: Final answer
    x = 10,393.80

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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.