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Finding the Fourth Proportional to 23,864.70, 35,801.10 and 7,224.60

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Solution

The fourth proportional to 23,864.70, 35,801.10 and 7,224.60 is: 10,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864.70 : 35,801.10 = 7,224.60 : x
  2. Step 2: Convert to fraction form
    23,864.70/35,801.10 = 7,224.60/x
  3. Step 3: Cross multiply
    23,864.70x = 35,801.10 × 7,224.60
  4. Step 4: Simplify right side
    23,864.70x = 258,648,627.06
  5. Step 5: Solve for x
    x = 258,648,627.06/23,864.70
  6. Step 6: Final answer
    x = 10,838.13

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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.