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Finding the Fourth Proportional to 13,713.01, 18,924.30 and 8,410.75

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Solution

The fourth proportional to 13,713.01, 18,924.30 and 8,410.75 is: 11,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.01 : 18,924.30 = 8,410.75 : x
  2. Step 2: Convert to fraction form
    13,713.01/18,924.30 = 8,410.75/x
  3. Step 3: Cross multiply
    13,713.01x = 18,924.30 × 8,410.75
  4. Step 4: Simplify right side
    13,713.01x = 159,167,419.55
  5. Step 5: Solve for x
    x = 159,167,419.55/13,713.01
  6. Step 6: Final answer
    x = 11,607.04

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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.