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Finding the Fourth Proportional to 25,723.60, 38,588.50 and 9,080.22

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Solution

The fourth proportional to 25,723.60, 38,588.50 and 9,080.22 is: 13,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,723.60 : 38,588.50 = 9,080.22 : x
  2. Step 2: Convert to fraction form
    25,723.60/38,588.50 = 9,080.22/x
  3. Step 3: Cross multiply
    25,723.60x = 38,588.50 × 9,080.22
  4. Step 4: Simplify right side
    25,723.60x = 350,392,069.47
  5. Step 5: Solve for x
    x = 350,392,069.47/25,723.60
  6. Step 6: Final answer
    x = 13,621.42

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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.