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Finding the Fourth Proportional to 20,851.92, 28,775.64 and 11,420.40

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Solution

The fourth proportional to 20,851.92, 28,775.64 and 11,420.40 is: 15,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.92 : 28,775.64 = 11,420.40 : x
  2. Step 2: Convert to fraction form
    20,851.92/28,775.64 = 11,420.40/x
  3. Step 3: Cross multiply
    20,851.92x = 28,775.64 × 11,420.40
  4. Step 4: Simplify right side
    20,851.92x = 328,629,319.06
  5. Step 5: Solve for x
    x = 328,629,319.06/20,851.92
  6. Step 6: Final answer
    x = 15,760.15

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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.