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Finding the Fourth Proportional to 12,400.70, 17,105.31 and 10,135.40

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Solution

The fourth proportional to 12,400.70, 17,105.31 and 10,135.40 is: 13,980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.70 : 17,105.31 = 10,135.40 : x
  2. Step 2: Convert to fraction form
    12,400.70/17,105.31 = 10,135.40/x
  3. Step 3: Cross multiply
    12,400.70x = 17,105.31 × 10,135.40
  4. Step 4: Simplify right side
    12,400.70x = 173,369,073.45
  5. Step 5: Solve for x
    x = 173,369,073.45/12,400.70
  6. Step 6: Final answer
    x = 13,980.59

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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.