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Finding the Fourth Proportional to 23,859.14, 35,801.01 and 9,829.53

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Solution

The fourth proportional to 23,859.14, 35,801.01 and 9,829.53 is: 14,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,859.14 : 35,801.01 = 9,829.53 : x
  2. Step 2: Convert to fraction form
    23,859.14/35,801.01 = 9,829.53/x
  3. Step 3: Cross multiply
    23,859.14x = 35,801.01 × 9,829.53
  4. Step 4: Simplify right side
    23,859.14x = 351,907,101.83
  5. Step 5: Solve for x
    x = 351,907,101.83/23,859.14
  6. Step 6: Final answer
    x = 14,749.37

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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.