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Finding the Fourth Proportional to 13,384.79, 18,470.74 and 7,416.44

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Solution

The fourth proportional to 13,384.79, 18,470.74 and 7,416.44 is: 10,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.79 : 18,470.74 = 7,416.44 : x
  2. Step 2: Convert to fraction form
    13,384.79/18,470.74 = 7,416.44/x
  3. Step 3: Cross multiply
    13,384.79x = 18,470.74 × 7,416.44
  4. Step 4: Simplify right side
    13,384.79x = 136,987,097.88
  5. Step 5: Solve for x
    x = 136,987,097.88/13,384.79
  6. Step 6: Final answer
    x = 10,234.53

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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.