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Finding the Fourth Proportional to 14,885.28, 20,509.20 and 9,908.64

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Solution

The fourth proportional to 14,885.28, 20,509.20 and 9,908.64 is: 13,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,885.28 : 20,509.20 = 9,908.64 : x
  2. Step 2: Convert to fraction form
    14,885.28/20,509.20 = 9,908.64/x
  3. Step 3: Cross multiply
    14,885.28x = 20,509.20 × 9,908.64
  4. Step 4: Simplify right side
    14,885.28x = 203,218,279.49
  5. Step 5: Solve for x
    x = 203,218,279.49/14,885.28
  6. Step 6: Final answer
    x = 13,652.30

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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.