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Finding the Fourth Proportional to 23,853.42, 35,780.04 and 6,323.40

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Solution

The fourth proportional to 23,853.42, 35,780.04 and 6,323.40 is: 9,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.42 : 35,780.04 = 6,323.40 : x
  2. Step 2: Convert to fraction form
    23,853.42/35,780.04 = 6,323.40/x
  3. Step 3: Cross multiply
    23,853.42x = 35,780.04 × 6,323.40
  4. Step 4: Simplify right side
    23,853.42x = 226,251,504.94
  5. Step 5: Solve for x
    x = 226,251,504.94/23,853.42
  6. Step 6: Final answer
    x = 9,485.08

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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.