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Finding the Fourth Proportional to 11,233.70, 16,852.71 and 3,442.58

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Solution

The fourth proportional to 11,233.70, 16,852.71 and 3,442.58 is: 5,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233.70 : 16,852.71 = 3,442.58 : x
  2. Step 2: Convert to fraction form
    11,233.70/16,852.71 = 3,442.58/x
  3. Step 3: Cross multiply
    11,233.70x = 16,852.71 × 3,442.58
  4. Step 4: Simplify right side
    11,233.70x = 58,016,802.39
  5. Step 5: Solve for x
    x = 58,016,802.39/11,233.70
  6. Step 6: Final answer
    x = 5,164.53

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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.