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Finding the Fourth Proportional to 12,105.47, 16,706.93 and 7,071.32

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Solution

The fourth proportional to 12,105.47, 16,706.93 and 7,071.32 is: 9,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.47 : 16,706.93 = 7,071.32 : x
  2. Step 2: Convert to fraction form
    12,105.47/16,706.93 = 7,071.32/x
  3. Step 3: Cross multiply
    12,105.47x = 16,706.93 × 7,071.32
  4. Step 4: Simplify right side
    12,105.47x = 118,140,054.66
  5. Step 5: Solve for x
    x = 118,140,054.66/12,105.47
  6. Step 6: Final answer
    x = 9,759.23

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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.