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Finding the Fourth Proportional to 23,532.58, 35,319.12 and 13,658.14

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Solution

The fourth proportional to 23,532.58, 35,319.12 and 13,658.14 is: 20,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532.58 : 35,319.12 = 13,658.14 : x
  2. Step 2: Convert to fraction form
    23,532.58/35,319.12 = 13,658.14/x
  3. Step 3: Cross multiply
    23,532.58x = 35,319.12 × 13,658.14
  4. Step 4: Simplify right side
    23,532.58x = 482,393,485.64
  5. Step 5: Solve for x
    x = 482,393,485.64/23,532.58
  6. Step 6: Final answer
    x = 20,498.96

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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.