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Finding the Fourth Proportional to 25,844.57, 38,742.26 and 8,302.10

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Solution

The fourth proportional to 25,844.57, 38,742.26 and 8,302.10 is: 12,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,844.57 : 38,742.26 = 8,302.10 : x
  2. Step 2: Convert to fraction form
    25,844.57/38,742.26 = 8,302.10/x
  3. Step 3: Cross multiply
    25,844.57x = 38,742.26 × 8,302.10
  4. Step 4: Simplify right side
    25,844.57x = 321,642,172.09
  5. Step 5: Solve for x
    x = 321,642,172.09/25,844.57
  6. Step 6: Final answer
    x = 12,445.25

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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.