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Finding the Fourth Proportional to 14,638.12, 20,199.14 and 9,924.20

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Solution

The fourth proportional to 14,638.12, 20,199.14 and 9,924.20 is: 13,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.12 : 20,199.14 = 9,924.20 : x
  2. Step 2: Convert to fraction form
    14,638.12/20,199.14 = 9,924.20/x
  3. Step 3: Cross multiply
    14,638.12x = 20,199.14 × 9,924.20
  4. Step 4: Simplify right side
    14,638.12x = 200,460,305.19
  5. Step 5: Solve for x
    x = 200,460,305.19/14,638.12
  6. Step 6: Final answer
    x = 13,694.40

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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.