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Finding the Fourth Proportional to 12,064.13, 16,648.55 and 6,686.81

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Solution

The fourth proportional to 12,064.13, 16,648.55 and 6,686.81 is: 9,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.13 : 16,648.55 = 6,686.81 : x
  2. Step 2: Convert to fraction form
    12,064.13/16,648.55 = 6,686.81/x
  3. Step 3: Cross multiply
    12,064.13x = 16,648.55 × 6,686.81
  4. Step 4: Simplify right side
    12,064.13x = 111,325,573.95
  5. Step 5: Solve for x
    x = 111,325,573.95/12,064.13
  6. Step 6: Final answer
    x = 9,227.82

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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.