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Finding the Fourth Proportional to 12,838.09, 17,716.08 and 7,172.56

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Solution

The fourth proportional to 12,838.09, 17,716.08 and 7,172.56 is: 9,897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.09 : 17,716.08 = 7,172.56 : x
  2. Step 2: Convert to fraction form
    12,838.09/17,716.08 = 7,172.56/x
  3. Step 3: Cross multiply
    12,838.09x = 17,716.08 × 7,172.56
  4. Step 4: Simplify right side
    12,838.09x = 127,069,646.76
  5. Step 5: Solve for x
    x = 127,069,646.76/12,838.09
  6. Step 6: Final answer
    x = 9,897.86

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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.