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Finding the Fourth Proportional to 13,384.35, 18,470.41 and 7,416.12

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Solution

The fourth proportional to 13,384.35, 18,470.41 and 7,416.12 is: 10,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.35 : 18,470.41 = 7,416.12 : x
  2. Step 2: Convert to fraction form
    13,384.35/18,470.41 = 7,416.12/x
  3. Step 3: Cross multiply
    13,384.35x = 18,470.41 × 7,416.12
  4. Step 4: Simplify right side
    13,384.35x = 136,978,777.01
  5. Step 5: Solve for x
    x = 136,978,777.01/13,384.35
  6. Step 6: Final answer
    x = 10,234.25

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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.