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Finding the Fourth Proportional to 13,384.90, 18,471.14 and 7,416.56

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Solution

The fourth proportional to 13,384.90, 18,471.14 and 7,416.56 is: 10,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.90 : 18,471.14 = 7,416.56 : x
  2. Step 2: Convert to fraction form
    13,384.90/18,471.14 = 7,416.56/x
  3. Step 3: Cross multiply
    13,384.90x = 18,471.14 × 7,416.56
  4. Step 4: Simplify right side
    13,384.90x = 136,992,318.08
  5. Step 5: Solve for x
    x = 136,992,318.08/13,384.90
  6. Step 6: Final answer
    x = 10,234.84

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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.