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Finding the Fourth Proportional to 13,286.88, 18,333.36 and 8,316

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Solution

The fourth proportional to 13,286.88, 18,333.36 and 8,316 is: 11,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.88 : 18,333.36 = 8,316 : x
  2. Step 2: Convert to fraction form
    13,286.88/18,333.36 = 8,316/x
  3. Step 3: Cross multiply
    13,286.88x = 18,333.36 × 8,316
  4. Step 4: Simplify right side
    13,286.88x = 152,460,221.76
  5. Step 5: Solve for x
    x = 152,460,221.76/13,286.88
  6. Step 6: Final answer
    x = 11,474.49

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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.