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Finding the Fourth Proportional to 12,858.64, 19,287.92 and 3,624.64

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Solution

The fourth proportional to 12,858.64, 19,287.92 and 3,624.64 is: 5,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.64 : 19,287.92 = 3,624.64 : x
  2. Step 2: Convert to fraction form
    12,858.64/19,287.92 = 3,624.64/x
  3. Step 3: Cross multiply
    12,858.64x = 19,287.92 × 3,624.64
  4. Step 4: Simplify right side
    12,858.64x = 69,911,766.35
  5. Step 5: Solve for x
    x = 69,911,766.35/12,858.64
  6. Step 6: Final answer
    x = 5,436.95

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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.