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Finding the Fourth Proportional to 12,858.16, 19,287.24 and 3,624.16

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Solution

The fourth proportional to 12,858.16, 19,287.24 and 3,624.16 is: 5,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.16 : 19,287.24 = 3,624.16 : x
  2. Step 2: Convert to fraction form
    12,858.16/19,287.24 = 3,624.16/x
  3. Step 3: Cross multiply
    12,858.16x = 19,287.24 × 3,624.16
  4. Step 4: Simplify right side
    12,858.16x = 69,900,043.72
  5. Step 5: Solve for x
    x = 69,900,043.72/12,858.16
  6. Step 6: Final answer
    x = 5,436.24

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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.