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Finding the Fourth Proportional to 25,669.64, 38,467.74 and 11,594.72

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Solution

The fourth proportional to 25,669.64, 38,467.74 and 11,594.72 is: 17,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,669.64 : 38,467.74 = 11,594.72 : x
  2. Step 2: Convert to fraction form
    25,669.64/38,467.74 = 11,594.72/x
  3. Step 3: Cross multiply
    25,669.64x = 38,467.74 × 11,594.72
  4. Step 4: Simplify right side
    25,669.64x = 446,022,674.33
  5. Step 5: Solve for x
    x = 446,022,674.33/25,669.64
  6. Step 6: Final answer
    x = 17,375.49

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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.