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Finding the Fourth Proportional to 12,077.70, 18,121.68 and 7,703.70

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Solution

The fourth proportional to 12,077.70, 18,121.68 and 7,703.70 is: 11,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.70 : 18,121.68 = 7,703.70 : x
  2. Step 2: Convert to fraction form
    12,077.70/18,121.68 = 7,703.70/x
  3. Step 3: Cross multiply
    12,077.70x = 18,121.68 × 7,703.70
  4. Step 4: Simplify right side
    12,077.70x = 139,603,986.22
  5. Step 5: Solve for x
    x = 139,603,986.22/12,077.70
  6. Step 6: Final answer
    x = 11,558.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.