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Finding the Fourth Proportional to 23,628.80, 35,414.40 and 10,467.20

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Solution

The fourth proportional to 23,628.80, 35,414.40 and 10,467.20 is: 15,688.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,628.80 : 35,414.40 = 10,467.20 : x
  2. Step 2: Convert to fraction form
    23,628.80/35,414.40 = 10,467.20/x
  3. Step 3: Cross multiply
    23,628.80x = 35,414.40 × 10,467.20
  4. Step 4: Simplify right side
    23,628.80x = 370,689,607.68
  5. Step 5: Solve for x
    x = 370,689,607.68/23,628.80
  6. Step 6: Final answer
    x = 15,688.04

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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.