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Finding the Fourth Proportional to 15,830.42, 23,739.46 and 5,964.30

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Solution

The fourth proportional to 15,830.42, 23,739.46 and 5,964.30 is: 8,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.42 : 23,739.46 = 5,964.30 : x
  2. Step 2: Convert to fraction form
    15,830.42/23,739.46 = 5,964.30/x
  3. Step 3: Cross multiply
    15,830.42x = 23,739.46 × 5,964.30
  4. Step 4: Simplify right side
    15,830.42x = 141,589,246.37
  5. Step 5: Solve for x
    x = 141,589,246.37/15,830.42
  6. Step 6: Final answer
    x = 8,944.13

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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.