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Finding the Fourth Proportional to 12,448.22, 17,179.71 and 7,071.85

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Solution

The fourth proportional to 12,448.22, 17,179.71 and 7,071.85 is: 9,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.22 : 17,179.71 = 7,071.85 : x
  2. Step 2: Convert to fraction form
    12,448.22/17,179.71 = 7,071.85/x
  3. Step 3: Cross multiply
    12,448.22x = 17,179.71 × 7,071.85
  4. Step 4: Simplify right side
    12,448.22x = 121,492,332.16
  5. Step 5: Solve for x
    x = 121,492,332.16/12,448.22
  6. Step 6: Final answer
    x = 9,759.82

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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.