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Finding the Fourth Proportional to 13,461.96, 18,577.19 and 7,493.49

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Solution

The fourth proportional to 13,461.96, 18,577.19 and 7,493.49 is: 10,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.96 : 18,577.19 = 7,493.49 : x
  2. Step 2: Convert to fraction form
    13,461.96/18,577.19 = 7,493.49/x
  3. Step 3: Cross multiply
    13,461.96x = 18,577.19 × 7,493.49
  4. Step 4: Simplify right side
    13,461.96x = 139,207,950.03
  5. Step 5: Solve for x
    x = 139,207,950.03/13,461.96
  6. Step 6: Final answer
    x = 10,340.84

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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.