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Finding the Fourth Proportional to 13,178.46, 18,193.79 and 8,715.16

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Solution

The fourth proportional to 13,178.46, 18,193.79 and 8,715.16 is: 12,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.46 : 18,193.79 = 8,715.16 : x
  2. Step 2: Convert to fraction form
    13,178.46/18,193.79 = 8,715.16/x
  3. Step 3: Cross multiply
    13,178.46x = 18,193.79 × 8,715.16
  4. Step 4: Simplify right side
    13,178.46x = 158,561,790.86
  5. Step 5: Solve for x
    x = 158,561,790.86/13,178.46
  6. Step 6: Final answer
    x = 12,031.89

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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.