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Finding the Fourth Proportional to 13,927.95, 19,220.49 and 7,640.19

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Solution

The fourth proportional to 13,927.95, 19,220.49 and 7,640.19 is: 10,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.95 : 19,220.49 = 7,640.19 : x
  2. Step 2: Convert to fraction form
    13,927.95/19,220.49 = 7,640.19/x
  3. Step 3: Cross multiply
    13,927.95x = 19,220.49 × 7,640.19
  4. Step 4: Simplify right side
    13,927.95x = 146,848,195.49
  5. Step 5: Solve for x
    x = 146,848,195.49/13,927.95
  6. Step 6: Final answer
    x = 10,543.42

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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.