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Finding the Fourth Proportional to 12,893.88, 17,783.49 and 8,643.54

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Solution

The fourth proportional to 12,893.88, 17,783.49 and 8,643.54 is: 11,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.88 : 17,783.49 = 8,643.54 : x
  2. Step 2: Convert to fraction form
    12,893.88/17,783.49 = 8,643.54/x
  3. Step 3: Cross multiply
    12,893.88x = 17,783.49 × 8,643.54
  4. Step 4: Simplify right side
    12,893.88x = 153,712,307.15
  5. Step 5: Solve for x
    x = 153,712,307.15/12,893.88
  6. Step 6: Final answer
    x = 11,921.34

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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.