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Finding the Fourth Proportional to 13,664.17, 20,449.93 and 8,402.49

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Solution

The fourth proportional to 13,664.17, 20,449.93 and 8,402.49 is: 12,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.17 : 20,449.93 = 8,402.49 : x
  2. Step 2: Convert to fraction form
    13,664.17/20,449.93 = 8,402.49/x
  3. Step 3: Cross multiply
    13,664.17x = 20,449.93 × 8,402.49
  4. Step 4: Simplify right side
    13,664.17x = 171,830,353.27
  5. Step 5: Solve for x
    x = 171,830,353.27/13,664.17
  6. Step 6: Final answer
    x = 12,575.25

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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.