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Finding the Fourth Proportional to 12,851.01, 17,734.74 and 7,185.60

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Solution

The fourth proportional to 12,851.01, 17,734.74 and 7,185.60 is: 9,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.01 : 17,734.74 = 7,185.60 : x
  2. Step 2: Convert to fraction form
    12,851.01/17,734.74 = 7,185.60/x
  3. Step 3: Cross multiply
    12,851.01x = 17,734.74 × 7,185.60
  4. Step 4: Simplify right side
    12,851.01x = 127,434,747.74
  5. Step 5: Solve for x
    x = 127,434,747.74/12,851.01
  6. Step 6: Final answer
    x = 9,916.32

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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.