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Finding the Fourth Proportional to 25,609.48, 38,431.52 and 8,969.64

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Solution

The fourth proportional to 25,609.48, 38,431.52 and 8,969.64 is: 13,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,609.48 : 38,431.52 = 8,969.64 : x
  2. Step 2: Convert to fraction form
    25,609.48/38,431.52 = 8,969.64/x
  3. Step 3: Cross multiply
    25,609.48x = 38,431.52 × 8,969.64
  4. Step 4: Simplify right side
    25,609.48x = 344,716,899.05
  5. Step 5: Solve for x
    x = 344,716,899.05/25,609.48
  6. Step 6: Final answer
    x = 13,460.52

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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.