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Finding the Fourth Proportional to 13,381.78, 18,461.04 and 9,405.50

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Solution

The fourth proportional to 13,381.78, 18,461.04 and 9,405.50 is: 12,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.78 : 18,461.04 = 9,405.50 : x
  2. Step 2: Convert to fraction form
    13,381.78/18,461.04 = 9,405.50/x
  3. Step 3: Cross multiply
    13,381.78x = 18,461.04 × 9,405.50
  4. Step 4: Simplify right side
    13,381.78x = 173,635,311.72
  5. Step 5: Solve for x
    x = 173,635,311.72/13,381.78
  6. Step 6: Final answer
    x = 12,975.50

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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.