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Finding the Fourth Proportional to 13,218.24, 19,830.24 and 3,984

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Solution

The fourth proportional to 13,218.24, 19,830.24 and 3,984 is: 5,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.24 : 19,830.24 = 3,984 : x
  2. Step 2: Convert to fraction form
    13,218.24/19,830.24 = 3,984/x
  3. Step 3: Cross multiply
    13,218.24x = 19,830.24 × 3,984
  4. Step 4: Simplify right side
    13,218.24x = 79,003,676.16
  5. Step 5: Solve for x
    x = 79,003,676.16/13,218.24
  6. Step 6: Final answer
    x = 5,976.87

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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.