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Finding the Fourth Proportional to 12,838.50, 17,715.38 and 7,172.56

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Solution

The fourth proportional to 12,838.50, 17,715.38 and 7,172.56 is: 9,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.50 : 17,715.38 = 7,172.56 : x
  2. Step 2: Convert to fraction form
    12,838.50/17,715.38 = 7,172.56/x
  3. Step 3: Cross multiply
    12,838.50x = 17,715.38 × 7,172.56
  4. Step 4: Simplify right side
    12,838.50x = 127,064,625.97
  5. Step 5: Solve for x
    x = 127,064,625.97/12,838.50
  6. Step 6: Final answer
    x = 9,897.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.