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Finding the Fourth Proportional to 13,444.48, 18,553.21 and 7,476

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Solution

The fourth proportional to 13,444.48, 18,553.21 and 7,476 is: 10,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.48 : 18,553.21 = 7,476 : x
  2. Step 2: Convert to fraction form
    13,444.48/18,553.21 = 7,476/x
  3. Step 3: Cross multiply
    13,444.48x = 18,553.21 × 7,476
  4. Step 4: Simplify right side
    13,444.48x = 138,703,797.96
  5. Step 5: Solve for x
    x = 138,703,797.96/13,444.48
  6. Step 6: Final answer
    x = 10,316.78

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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.