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Finding the Fourth Proportional to 23,802.54, 35,705.60 and 8,007.62

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Solution

The fourth proportional to 23,802.54, 35,705.60 and 8,007.62 is: 12,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.54 : 35,705.60 = 8,007.62 : x
  2. Step 2: Convert to fraction form
    23,802.54/35,705.60 = 8,007.62/x
  3. Step 3: Cross multiply
    23,802.54x = 35,705.60 × 8,007.62
  4. Step 4: Simplify right side
    23,802.54x = 285,916,658.11
  5. Step 5: Solve for x
    x = 285,916,658.11/23,802.54
  6. Step 6: Final answer
    x = 12,012.02

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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.