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Finding the Fourth Proportional to 13,213.84, 18,235.24 and 7,549.34

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Solution

The fourth proportional to 13,213.84, 18,235.24 and 7,549.34 is: 10,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.84 : 18,235.24 = 7,549.34 : x
  2. Step 2: Convert to fraction form
    13,213.84/18,235.24 = 7,549.34/x
  3. Step 3: Cross multiply
    13,213.84x = 18,235.24 × 7,549.34
  4. Step 4: Simplify right side
    13,213.84x = 137,664,026.74
  5. Step 5: Solve for x
    x = 137,664,026.74/13,213.84
  6. Step 6: Final answer
    x = 10,418.17

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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.