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Finding the Fourth Proportional to 21,405.26, 32,112.74 and 11,544.32

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Solution

The fourth proportional to 21,405.26, 32,112.74 and 11,544.32 is: 17,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.26 : 32,112.74 = 11,544.32 : x
  2. Step 2: Convert to fraction form
    21,405.26/32,112.74 = 11,544.32/x
  3. Step 3: Cross multiply
    21,405.26x = 32,112.74 × 11,544.32
  4. Step 4: Simplify right side
    21,405.26x = 370,719,855.78
  5. Step 5: Solve for x
    x = 370,719,855.78/21,405.26
  6. Step 6: Final answer
    x = 17,319.10

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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.