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Finding the Fourth Proportional to 12,688.49, 17,493.34 and 10,411.49

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Solution

The fourth proportional to 12,688.49, 17,493.34 and 10,411.49 is: 14,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.49 : 17,493.34 = 10,411.49 : x
  2. Step 2: Convert to fraction form
    12,688.49/17,493.34 = 10,411.49/x
  3. Step 3: Cross multiply
    12,688.49x = 17,493.34 × 10,411.49
  4. Step 4: Simplify right side
    12,688.49x = 182,131,734.48
  5. Step 5: Solve for x
    x = 182,131,734.48/12,688.49
  6. Step 6: Final answer
    x = 14,354.09

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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.