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Finding the Fourth Proportional to 23,669.61, 35,509.27 and 9,629.60

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Solution

The fourth proportional to 23,669.61, 35,509.27 and 9,629.60 is: 14,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,669.61 : 35,509.27 = 9,629.60 : x
  2. Step 2: Convert to fraction form
    23,669.61/35,509.27 = 9,629.60/x
  3. Step 3: Cross multiply
    23,669.61x = 35,509.27 × 9,629.60
  4. Step 4: Simplify right side
    23,669.61x = 341,939,953.54
  5. Step 5: Solve for x
    x = 341,939,953.54/23,669.61
  6. Step 6: Final answer
    x = 14,446.37

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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.