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Finding the Fourth Proportional to 13,402.49, 18,492.48 and 7,736.04

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Solution

The fourth proportional to 13,402.49, 18,492.48 and 7,736.04 is: 10,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.49 : 18,492.48 = 7,736.04 : x
  2. Step 2: Convert to fraction form
    13,402.49/18,492.48 = 7,736.04/x
  3. Step 3: Cross multiply
    13,402.49x = 18,492.48 × 7,736.04
  4. Step 4: Simplify right side
    13,402.49x = 143,058,564.98
  5. Step 5: Solve for x
    x = 143,058,564.98/13,402.49
  6. Step 6: Final answer
    x = 10,674.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.