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Finding the Fourth Proportional to 12,102.90, 16,708.62 and 7,323.66

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Solution

The fourth proportional to 12,102.90, 16,708.62 and 7,323.66 is: 10,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.90 : 16,708.62 = 7,323.66 : x
  2. Step 2: Convert to fraction form
    12,102.90/16,708.62 = 7,323.66/x
  3. Step 3: Cross multiply
    12,102.90x = 16,708.62 × 7,323.66
  4. Step 4: Simplify right side
    12,102.90x = 122,368,251.95
  5. Step 5: Solve for x
    x = 122,368,251.95/12,102.90
  6. Step 6: Final answer
    x = 10,110.66

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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.