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Finding the Fourth Proportional to 15,871.80, 23,777.46 and 9,858.36

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Solution

The fourth proportional to 15,871.80, 23,777.46 and 9,858.36 is: 14,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.80 : 23,777.46 = 9,858.36 : x
  2. Step 2: Convert to fraction form
    15,871.80/23,777.46 = 9,858.36/x
  3. Step 3: Cross multiply
    15,871.80x = 23,777.46 × 9,858.36
  4. Step 4: Simplify right side
    15,871.80x = 234,406,760.57
  5. Step 5: Solve for x
    x = 234,406,760.57/15,871.80
  6. Step 6: Final answer
    x = 14,768.76

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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.