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Finding the Fourth Proportional to 13,728.08, 20,586 and 4,366.34

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Solution

The fourth proportional to 13,728.08, 20,586 and 4,366.34 is: 6,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.08 : 20,586 = 4,366.34 : x
  2. Step 2: Convert to fraction form
    13,728.08/20,586 = 4,366.34/x
  3. Step 3: Cross multiply
    13,728.08x = 20,586 × 4,366.34
  4. Step 4: Simplify right side
    13,728.08x = 89,885,475.24
  5. Step 5: Solve for x
    x = 89,885,475.24/13,728.08
  6. Step 6: Final answer
    x = 6,547.56

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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.