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Finding the Fourth Proportional to 23,629.40, 35,435.70 and 10,458.20

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Solution

The fourth proportional to 23,629.40, 35,435.70 and 10,458.20 is: 15,683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,629.40 : 35,435.70 = 10,458.20 : x
  2. Step 2: Convert to fraction form
    23,629.40/35,435.70 = 10,458.20/x
  3. Step 3: Cross multiply
    23,629.40x = 35,435.70 × 10,458.20
  4. Step 4: Simplify right side
    23,629.40x = 370,593,637.74
  5. Step 5: Solve for x
    x = 370,593,637.74/23,629.40
  6. Step 6: Final answer
    x = 15,683.58

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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.