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Finding the Fourth Proportional to 13,721.64, 18,935.88 and 7,434

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Solution

The fourth proportional to 13,721.64, 18,935.88 and 7,434 is: 10,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721.64 : 18,935.88 = 7,434 : x
  2. Step 2: Convert to fraction form
    13,721.64/18,935.88 = 7,434/x
  3. Step 3: Cross multiply
    13,721.64x = 18,935.88 × 7,434
  4. Step 4: Simplify right side
    13,721.64x = 140,769,331.92
  5. Step 5: Solve for x
    x = 140,769,331.92/13,721.64
  6. Step 6: Final answer
    x = 10,258.93

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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.