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Finding the Fourth Proportional to 21,843.36, 32,774.88 and 11,851.20

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Solution

The fourth proportional to 21,843.36, 32,774.88 and 11,851.20 is: 17,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.36 : 32,774.88 = 11,851.20 : x
  2. Step 2: Convert to fraction form
    21,843.36/32,774.88 = 11,851.20/x
  3. Step 3: Cross multiply
    21,843.36x = 32,774.88 × 11,851.20
  4. Step 4: Simplify right side
    21,843.36x = 388,421,657.86
  5. Step 5: Solve for x
    x = 388,421,657.86/21,843.36
  6. Step 6: Final answer
    x = 17,782.14

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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.