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Finding the Fourth Proportional to 13,957.56, 19,261.50 and 7,669.92

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Solution

The fourth proportional to 13,957.56, 19,261.50 and 7,669.92 is: 10,584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.56 : 19,261.50 = 7,669.92 : x
  2. Step 2: Convert to fraction form
    13,957.56/19,261.50 = 7,669.92/x
  3. Step 3: Cross multiply
    13,957.56x = 19,261.50 × 7,669.92
  4. Step 4: Simplify right side
    13,957.56x = 147,734,164.08
  5. Step 5: Solve for x
    x = 147,734,164.08/13,957.56
  6. Step 6: Final answer
    x = 10,584.53

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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.