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Finding the Fourth Proportional to 23,744.32, 35,617.44 and 7,104.64

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Solution

The fourth proportional to 23,744.32, 35,617.44 and 7,104.64 is: 10,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744.32 : 35,617.44 = 7,104.64 : x
  2. Step 2: Convert to fraction form
    23,744.32/35,617.44 = 7,104.64/x
  3. Step 3: Cross multiply
    23,744.32x = 35,617.44 × 7,104.64
  4. Step 4: Simplify right side
    23,744.32x = 253,049,088.92
  5. Step 5: Solve for x
    x = 253,049,088.92/23,744.32
  6. Step 6: Final answer
    x = 10,657.25

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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.