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Finding the Fourth Proportional to 13,233.48, 19,848.04 and 3,871.24

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Solution

The fourth proportional to 13,233.48, 19,848.04 and 3,871.24 is: 5,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233.48 : 19,848.04 = 3,871.24 : x
  2. Step 2: Convert to fraction form
    13,233.48/19,848.04 = 3,871.24/x
  3. Step 3: Cross multiply
    13,233.48x = 19,848.04 × 3,871.24
  4. Step 4: Simplify right side
    13,233.48x = 76,836,526.37
  5. Step 5: Solve for x
    x = 76,836,526.37/13,233.48
  6. Step 6: Final answer
    x = 5,806.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.