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Finding the Fourth Proportional to 25,698.32, 38,546.88 and 11,847.32

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Solution

The fourth proportional to 25,698.32, 38,546.88 and 11,847.32 is: 17,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698.32 : 38,546.88 = 11,847.32 : x
  2. Step 2: Convert to fraction form
    25,698.32/38,546.88 = 11,847.32/x
  3. Step 3: Cross multiply
    25,698.32x = 38,546.88 × 11,847.32
  4. Step 4: Simplify right side
    25,698.32x = 456,677,222.36
  5. Step 5: Solve for x
    x = 456,677,222.36/25,698.32
  6. Step 6: Final answer
    x = 17,770.70

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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.