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Finding the Fourth Proportional to 13,598.72, 18,766.24 and 8,294.64

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Solution

The fourth proportional to 13,598.72, 18,766.24 and 8,294.64 is: 11,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.72 : 18,766.24 = 8,294.64 : x
  2. Step 2: Convert to fraction form
    13,598.72/18,766.24 = 8,294.64/x
  3. Step 3: Cross multiply
    13,598.72x = 18,766.24 × 8,294.64
  4. Step 4: Simplify right side
    13,598.72x = 155,659,113.84
  5. Step 5: Solve for x
    x = 155,659,113.84/13,598.72
  6. Step 6: Final answer
    x = 11,446.60

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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.