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Finding the Fourth Proportional to 28,185.32, 42,284.46 and 8,464.25

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Solution

The fourth proportional to 28,185.32, 42,284.46 and 8,464.25 is: 12,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,185.32 : 42,284.46 = 8,464.25 : x
  2. Step 2: Convert to fraction form
    28,185.32/42,284.46 = 8,464.25/x
  3. Step 3: Cross multiply
    28,185.32x = 42,284.46 × 8,464.25
  4. Step 4: Simplify right side
    28,185.32x = 357,906,029.13
  5. Step 5: Solve for x
    x = 357,906,029.13/28,185.32
  6. Step 6: Final answer
    x = 12,698.32

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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.