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Finding the Fourth Proportional to 13,171.82, 19,733.12 and 6,924.29

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Solution

The fourth proportional to 13,171.82, 19,733.12 and 6,924.29 is: 10,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.82 : 19,733.12 = 6,924.29 : x
  2. Step 2: Convert to fraction form
    13,171.82/19,733.12 = 6,924.29/x
  3. Step 3: Cross multiply
    13,171.82x = 19,733.12 × 6,924.29
  4. Step 4: Simplify right side
    13,171.82x = 136,637,738.16
  5. Step 5: Solve for x
    x = 136,637,738.16/13,171.82
  6. Step 6: Final answer
    x = 10,373.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.