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Finding the Fourth Proportional to 13,921.60, 19,211.72 and 7,634

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Solution

The fourth proportional to 13,921.60, 19,211.72 and 7,634 is: 10,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.60 : 19,211.72 = 7,634 : x
  2. Step 2: Convert to fraction form
    13,921.60/19,211.72 = 7,634/x
  3. Step 3: Cross multiply
    13,921.60x = 19,211.72 × 7,634
  4. Step 4: Simplify right side
    13,921.60x = 146,662,270.48
  5. Step 5: Solve for x
    x = 146,662,270.48/13,921.60
  6. Step 6: Final answer
    x = 10,534.87

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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.