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Finding the Fourth Proportional to 12,827.14, 17,696.25 and 7,237.06

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Solution

The fourth proportional to 12,827.14, 17,696.25 and 7,237.06 is: 9,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.14 : 17,696.25 = 7,237.06 : x
  2. Step 2: Convert to fraction form
    12,827.14/17,696.25 = 7,237.06/x
  3. Step 3: Cross multiply
    12,827.14x = 17,696.25 × 7,237.06
  4. Step 4: Simplify right side
    12,827.14x = 128,068,823.03
  5. Step 5: Solve for x
    x = 128,068,823.03/12,827.14
  6. Step 6: Final answer
    x = 9,984.21

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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.