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Finding the Fourth Proportional to 13,913.75, 19,202.19 and 7,627.34

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Solution

The fourth proportional to 13,913.75, 19,202.19 and 7,627.34 is: 10,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.75 : 19,202.19 = 7,627.34 : x
  2. Step 2: Convert to fraction form
    13,913.75/19,202.19 = 7,627.34/x
  3. Step 3: Cross multiply
    13,913.75x = 19,202.19 × 7,627.34
  4. Step 4: Simplify right side
    13,913.75x = 146,461,631.87
  5. Step 5: Solve for x
    x = 146,461,631.87/13,913.75
  6. Step 6: Final answer
    x = 10,526.40

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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.