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Finding the Fourth Proportional to 14,014.37, 19,340.05 and 7,640.97

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Solution

The fourth proportional to 14,014.37, 19,340.05 and 7,640.97 is: 10,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.37 : 19,340.05 = 7,640.97 : x
  2. Step 2: Convert to fraction form
    14,014.37/19,340.05 = 7,640.97/x
  3. Step 3: Cross multiply
    14,014.37x = 19,340.05 × 7,640.97
  4. Step 4: Simplify right side
    14,014.37x = 147,776,741.85
  5. Step 5: Solve for x
    x = 147,776,741.85/14,014.37
  6. Step 6: Final answer
    x = 10,544.66

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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.