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Finding the Fourth Proportional to 20,851.84, 28,774.72 and 11,420.16

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Solution

The fourth proportional to 20,851.84, 28,774.72 and 11,420.16 is: 15,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.84 : 28,774.72 = 11,420.16 : x
  2. Step 2: Convert to fraction form
    20,851.84/28,774.72 = 11,420.16/x
  3. Step 3: Cross multiply
    20,851.84x = 28,774.72 × 11,420.16
  4. Step 4: Simplify right side
    20,851.84x = 328,611,906.36
  5. Step 5: Solve for x
    x = 328,611,906.36/20,851.84
  6. Step 6: Final answer
    x = 15,759.37

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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.