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Finding the Fourth Proportional to 23,406.43, 35,102.35 and 7,820.41

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Solution

The fourth proportional to 23,406.43, 35,102.35 and 7,820.41 is: 11,728.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406.43 : 35,102.35 = 7,820.41 : x
  2. Step 2: Convert to fraction form
    23,406.43/35,102.35 = 7,820.41/x
  3. Step 3: Cross multiply
    23,406.43x = 35,102.35 × 7,820.41
  4. Step 4: Simplify right side
    23,406.43x = 274,514,768.96
  5. Step 5: Solve for x
    x = 274,514,768.96/23,406.43
  6. Step 6: Final answer
    x = 11,728.18

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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.