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Finding the Fourth Proportional to 23,316.26, 32,185.78 and 13,883

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Solution

The fourth proportional to 23,316.26, 32,185.78 and 13,883 is: 19,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,316.26 : 32,185.78 = 13,883 : x
  2. Step 2: Convert to fraction form
    23,316.26/32,185.78 = 13,883/x
  3. Step 3: Cross multiply
    23,316.26x = 32,185.78 × 13,883
  4. Step 4: Simplify right side
    23,316.26x = 446,835,183.74
  5. Step 5: Solve for x
    x = 446,835,183.74/23,316.26
  6. Step 6: Final answer
    x = 19,164.10

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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.