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Finding the Fourth Proportional to 13,712.64, 18,924.16 and 8,999.68

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Solution

The fourth proportional to 13,712.64, 18,924.16 and 8,999.68 is: 12,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.64 : 18,924.16 = 8,999.68 : x
  2. Step 2: Convert to fraction form
    13,712.64/18,924.16 = 8,999.68/x
  3. Step 3: Cross multiply
    13,712.64x = 18,924.16 × 8,999.68
  4. Step 4: Simplify right side
    13,712.64x = 170,311,384.27
  5. Step 5: Solve for x
    x = 170,311,384.27/13,712.64
  6. Step 6: Final answer
    x = 12,420.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.