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Finding the Fourth Proportional to 23,802.96, 35,701.34 and 6,274.16

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Solution

The fourth proportional to 23,802.96, 35,701.34 and 6,274.16 is: 9,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.96 : 35,701.34 = 6,274.16 : x
  2. Step 2: Convert to fraction form
    23,802.96/35,701.34 = 6,274.16/x
  3. Step 3: Cross multiply
    23,802.96x = 35,701.34 × 6,274.16
  4. Step 4: Simplify right side
    23,802.96x = 223,995,919.37
  5. Step 5: Solve for x
    x = 223,995,919.37/23,802.96
  6. Step 6: Final answer
    x = 9,410.42

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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.