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Finding the Fourth Proportional to 23,523.58, 35,239.24 and 13,642.10

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Solution

The fourth proportional to 23,523.58, 35,239.24 and 13,642.10 is: 20,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.58 : 35,239.24 = 13,642.10 : x
  2. Step 2: Convert to fraction form
    23,523.58/35,239.24 = 13,642.10/x
  3. Step 3: Cross multiply
    23,523.58x = 35,239.24 × 13,642.10
  4. Step 4: Simplify right side
    23,523.58x = 480,737,236.00
  5. Step 5: Solve for x
    x = 480,737,236.00/23,523.58
  6. Step 6: Final answer
    x = 20,436.40

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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.