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Finding the Fourth Proportional to 25,883.42, 38,827.56 and 9,245.22

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Solution

The fourth proportional to 25,883.42, 38,827.56 and 9,245.22 is: 13,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,883.42 : 38,827.56 = 9,245.22 : x
  2. Step 2: Convert to fraction form
    25,883.42/38,827.56 = 9,245.22/x
  3. Step 3: Cross multiply
    25,883.42x = 38,827.56 × 9,245.22
  4. Step 4: Simplify right side
    25,883.42x = 358,969,334.26
  5. Step 5: Solve for x
    x = 358,969,334.26/25,883.42
  6. Step 6: Final answer
    x = 13,868.70

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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.