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Finding the Fourth Proportional to 13,940.96, 19,238.64 and 7,653.28

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Solution

The fourth proportional to 13,940.96, 19,238.64 and 7,653.28 is: 10,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.96 : 19,238.64 = 7,653.28 : x
  2. Step 2: Convert to fraction form
    13,940.96/19,238.64 = 7,653.28/x
  3. Step 3: Cross multiply
    13,940.96x = 19,238.64 × 7,653.28
  4. Step 4: Simplify right side
    13,940.96x = 147,238,698.74
  5. Step 5: Solve for x
    x = 147,238,698.74/13,940.96
  6. Step 6: Final answer
    x = 10,561.59

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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.