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Finding the Fourth Proportional to 23,682.39, 35,498.88 and 9,636.80

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Solution

The fourth proportional to 23,682.39, 35,498.88 and 9,636.80 is: 14,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.39 : 35,498.88 = 9,636.80 : x
  2. Step 2: Convert to fraction form
    23,682.39/35,498.88 = 9,636.80/x
  3. Step 3: Cross multiply
    23,682.39x = 35,498.88 × 9,636.80
  4. Step 4: Simplify right side
    23,682.39x = 342,095,429.29
  5. Step 5: Solve for x
    x = 342,095,429.29/23,682.39
  6. Step 6: Final answer
    x = 14,445.14

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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.