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Finding the Fourth Proportional to 23,701.84, 35,552.58 and 9,850.84

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Solution

The fourth proportional to 23,701.84, 35,552.58 and 9,850.84 is: 14,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701.84 : 35,552.58 = 9,850.84 : x
  2. Step 2: Convert to fraction form
    23,701.84/35,552.58 = 9,850.84/x
  3. Step 3: Cross multiply
    23,701.84x = 35,552.58 × 9,850.84
  4. Step 4: Simplify right side
    23,701.84x = 350,222,777.17
  5. Step 5: Solve for x
    x = 350,222,777.17/23,701.84
  6. Step 6: Final answer
    x = 14,776.19

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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.