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Finding the Fourth Proportional to 29,720.80, 41,009.60 and 17,783.60

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Solution

The fourth proportional to 29,720.80, 41,009.60 and 17,783.60 is: 24,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,720.80 : 41,009.60 = 17,783.60 : x
  2. Step 2: Convert to fraction form
    29,720.80/41,009.60 = 17,783.60/x
  3. Step 3: Cross multiply
    29,720.80x = 41,009.60 × 17,783.60
  4. Step 4: Simplify right side
    29,720.80x = 729,298,322.56
  5. Step 5: Solve for x
    x = 729,298,322.56/29,720.80
  6. Step 6: Final answer
    x = 24,538.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.