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Finding the Fourth Proportional to 13,212.84, 18,233.86 and 7,548.34

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Solution

The fourth proportional to 13,212.84, 18,233.86 and 7,548.34 is: 10,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.84 : 18,233.86 = 7,548.34 : x
  2. Step 2: Convert to fraction form
    13,212.84/18,233.86 = 7,548.34/x
  3. Step 3: Cross multiply
    13,212.84x = 18,233.86 × 7,548.34
  4. Step 4: Simplify right side
    13,212.84x = 137,635,374.79
  5. Step 5: Solve for x
    x = 137,635,374.79/13,212.84
  6. Step 6: Final answer
    x = 10,416.79

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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.