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Finding the Fourth Proportional to 15,675.78, 23,513.80 and 3,989

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Solution

The fourth proportional to 15,675.78, 23,513.80 and 3,989 is: 5,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.78 : 23,513.80 = 3,989 : x
  2. Step 2: Convert to fraction form
    15,675.78/23,513.80 = 3,989/x
  3. Step 3: Cross multiply
    15,675.78x = 23,513.80 × 3,989
  4. Step 4: Simplify right side
    15,675.78x = 93,796,548.20
  5. Step 5: Solve for x
    x = 93,796,548.20/15,675.78
  6. Step 6: Final answer
    x = 5,983.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.