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Finding the Fourth Proportional to 23,980.37, 35,966.48 and 10,829.66

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Solution

The fourth proportional to 23,980.37, 35,966.48 and 10,829.66 is: 16,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,980.37 : 35,966.48 = 10,829.66 : x
  2. Step 2: Convert to fraction form
    23,980.37/35,966.48 = 10,829.66/x
  3. Step 3: Cross multiply
    23,980.37x = 35,966.48 × 10,829.66
  4. Step 4: Simplify right side
    23,980.37x = 389,504,515.82
  5. Step 5: Solve for x
    x = 389,504,515.82/23,980.37
  6. Step 6: Final answer
    x = 16,242.64

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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.