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Finding the Fourth Proportional to 19,902.60, 27,466.74 and 11,407.35

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Solution

The fourth proportional to 19,902.60, 27,466.74 and 11,407.35 is: 15,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.60 : 27,466.74 = 11,407.35 : x
  2. Step 2: Convert to fraction form
    19,902.60/27,466.74 = 11,407.35/x
  3. Step 3: Cross multiply
    19,902.60x = 27,466.74 × 11,407.35
  4. Step 4: Simplify right side
    19,902.60x = 313,322,716.54
  5. Step 5: Solve for x
    x = 313,322,716.54/19,902.60
  6. Step 6: Final answer
    x = 15,742.80

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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.