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Finding the Fourth Proportional to 13,940.10, 19,235.94 and 7,970.52

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Solution

The fourth proportional to 13,940.10, 19,235.94 and 7,970.52 is: 10,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.10 : 19,235.94 = 7,970.52 : x
  2. Step 2: Convert to fraction form
    13,940.10/19,235.94 = 7,970.52/x
  3. Step 3: Cross multiply
    13,940.10x = 19,235.94 × 7,970.52
  4. Step 4: Simplify right side
    13,940.10x = 153,320,444.49
  5. Step 5: Solve for x
    x = 153,320,444.49/13,940.10
  6. Step 6: Final answer
    x = 10,998.52

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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.