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Finding the Fourth Proportional to 23,746.60, 35,623.16 and 8,162.20

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Solution

The fourth proportional to 23,746.60, 35,623.16 and 8,162.20 is: 12,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,746.60 : 35,623.16 = 8,162.20 : x
  2. Step 2: Convert to fraction form
    23,746.60/35,623.16 = 8,162.20/x
  3. Step 3: Cross multiply
    23,746.60x = 35,623.16 × 8,162.20
  4. Step 4: Simplify right side
    23,746.60x = 290,763,356.55
  5. Step 5: Solve for x
    x = 290,763,356.55/23,746.60
  6. Step 6: Final answer
    x = 12,244.42

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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.