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Finding the Fourth Proportional to 19,705.53, 27,193.67 and 11,207.46

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Solution

The fourth proportional to 19,705.53, 27,193.67 and 11,207.46 is: 15,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.53 : 27,193.67 = 11,207.46 : x
  2. Step 2: Convert to fraction form
    19,705.53/27,193.67 = 11,207.46/x
  3. Step 3: Cross multiply
    19,705.53x = 27,193.67 × 11,207.46
  4. Step 4: Simplify right side
    19,705.53x = 304,772,119.79
  5. Step 5: Solve for x
    x = 304,772,119.79/19,705.53
  6. Step 6: Final answer
    x = 15,466.33

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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.