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Finding the Fourth Proportional to 23,820.42, 35,705.43 and 8,010.39

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Solution

The fourth proportional to 23,820.42, 35,705.43 and 8,010.39 is: 12,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.42 : 35,705.43 = 8,010.39 : x
  2. Step 2: Convert to fraction form
    23,820.42/35,705.43 = 8,010.39/x
  3. Step 3: Cross multiply
    23,820.42x = 35,705.43 × 8,010.39
  4. Step 4: Simplify right side
    23,820.42x = 286,014,419.42
  5. Step 5: Solve for x
    x = 286,014,419.42/23,820.42
  6. Step 6: Final answer
    x = 12,007.11

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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.