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Finding the Fourth Proportional to 13,385.49, 18,471.21 and 7,416.81

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Solution

The fourth proportional to 13,385.49, 18,471.21 and 7,416.81 is: 10,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.49 : 18,471.21 = 7,416.81 : x
  2. Step 2: Convert to fraction form
    13,385.49/18,471.21 = 7,416.81/x
  3. Step 3: Cross multiply
    13,385.49x = 18,471.21 × 7,416.81
  4. Step 4: Simplify right side
    13,385.49x = 136,997,455.04
  5. Step 5: Solve for x
    x = 136,997,455.04/13,385.49
  6. Step 6: Final answer
    x = 10,234.77

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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.