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Finding the Fourth Proportional to 12,155.76, 16,774.08 and 6,851.28

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Solution

The fourth proportional to 12,155.76, 16,774.08 and 6,851.28 is: 9,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.76 : 16,774.08 = 6,851.28 : x
  2. Step 2: Convert to fraction form
    12,155.76/16,774.08 = 6,851.28/x
  3. Step 3: Cross multiply
    12,155.76x = 16,774.08 × 6,851.28
  4. Step 4: Simplify right side
    12,155.76x = 114,923,918.82
  5. Step 5: Solve for x
    x = 114,923,918.82/12,155.76
  6. Step 6: Final answer
    x = 9,454.28

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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.