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Finding the Fourth Proportional to 13,924.95, 19,217.64 and 7,638.54

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Solution

The fourth proportional to 13,924.95, 19,217.64 and 7,638.54 is: 10,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.95 : 19,217.64 = 7,638.54 : x
  2. Step 2: Convert to fraction form
    13,924.95/19,217.64 = 7,638.54/x
  3. Step 3: Cross multiply
    13,924.95x = 19,217.64 × 7,638.54
  4. Step 4: Simplify right side
    13,924.95x = 146,794,711.85
  5. Step 5: Solve for x
    x = 146,794,711.85/13,924.95
  6. Step 6: Final answer
    x = 10,541.85

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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.