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Finding the Fourth Proportional to 23,785.72, 35,683.80 and 7,990.18

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Solution

The fourth proportional to 23,785.72, 35,683.80 and 7,990.18 is: 11,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.72 : 35,683.80 = 7,990.18 : x
  2. Step 2: Convert to fraction form
    23,785.72/35,683.80 = 7,990.18/x
  3. Step 3: Cross multiply
    23,785.72x = 35,683.80 × 7,990.18
  4. Step 4: Simplify right side
    23,785.72x = 285,119,985.08
  5. Step 5: Solve for x
    x = 285,119,985.08/23,785.72
  6. Step 6: Final answer
    x = 11,987.02

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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.