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Finding the Fourth Proportional to 13,938.70, 19,235.99 and 7,970.37

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Solution

The fourth proportional to 13,938.70, 19,235.99 and 7,970.37 is: 10,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.70 : 19,235.99 = 7,970.37 : x
  2. Step 2: Convert to fraction form
    13,938.70/19,235.99 = 7,970.37/x
  3. Step 3: Cross multiply
    13,938.70x = 19,235.99 × 7,970.37
  4. Step 4: Simplify right side
    13,938.70x = 153,317,957.62
  5. Step 5: Solve for x
    x = 153,317,957.62/13,938.70
  6. Step 6: Final answer
    x = 10,999.44

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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.