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Finding the Fourth Proportional to 12,874.88, 17,775.60 and 8,848.40

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Solution

The fourth proportional to 12,874.88, 17,775.60 and 8,848.40 is: 12,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.88 : 17,775.60 = 8,848.40 : x
  2. Step 2: Convert to fraction form
    12,874.88/17,775.60 = 8,848.40/x
  3. Step 3: Cross multiply
    12,874.88x = 17,775.60 × 8,848.40
  4. Step 4: Simplify right side
    12,874.88x = 157,285,619.04
  5. Step 5: Solve for x
    x = 157,285,619.04/12,874.88
  6. Step 6: Final answer
    x = 12,216.47

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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.