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Finding the Fourth Proportional to 13,178.04, 18,191.64 and 8,404.40

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Solution

The fourth proportional to 13,178.04, 18,191.64 and 8,404.40 is: 11,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.04 : 18,191.64 = 8,404.40 : x
  2. Step 2: Convert to fraction form
    13,178.04/18,191.64 = 8,404.40/x
  3. Step 3: Cross multiply
    13,178.04x = 18,191.64 × 8,404.40
  4. Step 4: Simplify right side
    13,178.04x = 152,889,728.26
  5. Step 5: Solve for x
    x = 152,889,728.26/13,178.04
  6. Step 6: Final answer
    x = 11,601.86

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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.