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Finding the Fourth Proportional to 13,644.63, 20,507.34 and 11,319.72

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Solution

The fourth proportional to 13,644.63, 20,507.34 and 11,319.72 is: 17,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.63 : 20,507.34 = 11,319.72 : x
  2. Step 2: Convert to fraction form
    13,644.63/20,507.34 = 11,319.72/x
  3. Step 3: Cross multiply
    13,644.63x = 20,507.34 × 11,319.72
  4. Step 4: Simplify right side
    13,644.63x = 232,137,346.74
  5. Step 5: Solve for x
    x = 232,137,346.74/13,644.63
  6. Step 6: Final answer
    x = 17,013.09

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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.