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Finding the Fourth Proportional to 13,318.63, 18,381.95 and 8,013.94

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Solution

The fourth proportional to 13,318.63, 18,381.95 and 8,013.94 is: 11,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,318.63 : 18,381.95 = 8,013.94 : x
  2. Step 2: Convert to fraction form
    13,318.63/18,381.95 = 8,013.94/x
  3. Step 3: Cross multiply
    13,318.63x = 18,381.95 × 8,013.94
  4. Step 4: Simplify right side
    13,318.63x = 147,311,844.38
  5. Step 5: Solve for x
    x = 147,311,844.38/13,318.63
  6. Step 6: Final answer
    x = 11,060.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.