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Finding the Fourth Proportional to 13,412.26, 18,509.46 and 8,106.04

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Solution

The fourth proportional to 13,412.26, 18,509.46 and 8,106.04 is: 11,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.26 : 18,509.46 = 8,106.04 : x
  2. Step 2: Convert to fraction form
    13,412.26/18,509.46 = 8,106.04/x
  3. Step 3: Cross multiply
    13,412.26x = 18,509.46 × 8,106.04
  4. Step 4: Simplify right side
    13,412.26x = 150,038,423.14
  5. Step 5: Solve for x
    x = 150,038,423.14/13,412.26
  6. Step 6: Final answer
    x = 11,186.66

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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.