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Finding the Fourth Proportional to 13,927.51, 19,220.16 and 7,639.75

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Solution

The fourth proportional to 13,927.51, 19,220.16 and 7,639.75 is: 10,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.51 : 19,220.16 = 7,639.75 : x
  2. Step 2: Convert to fraction form
    13,927.51/19,220.16 = 7,639.75/x
  3. Step 3: Cross multiply
    13,927.51x = 19,220.16 × 7,639.75
  4. Step 4: Simplify right side
    13,927.51x = 146,837,217.36
  5. Step 5: Solve for x
    x = 146,837,217.36/13,927.51
  6. Step 6: Final answer
    x = 10,542.96

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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.