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Finding the Fourth Proportional to 13,632.49, 18,822.14 and 10,047.88

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Solution

The fourth proportional to 13,632.49, 18,822.14 and 10,047.88 is: 13,872.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.49 : 18,822.14 = 10,047.88 : x
  2. Step 2: Convert to fraction form
    13,632.49/18,822.14 = 10,047.88/x
  3. Step 3: Cross multiply
    13,632.49x = 18,822.14 × 10,047.88
  4. Step 4: Simplify right side
    13,632.49x = 189,122,604.06
  5. Step 5: Solve for x
    x = 189,122,604.06/13,632.49
  6. Step 6: Final answer
    x = 13,872.93

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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.