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Finding the Fourth Proportional to 13,957.37, 19,261.16 and 7,669.74

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Solution

The fourth proportional to 13,957.37, 19,261.16 and 7,669.74 is: 10,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.37 : 19,261.16 = 7,669.74 : x
  2. Step 2: Convert to fraction form
    13,957.37/19,261.16 = 7,669.74/x
  3. Step 3: Cross multiply
    13,957.37x = 19,261.16 × 7,669.74
  4. Step 4: Simplify right side
    13,957.37x = 147,728,050.95
  5. Step 5: Solve for x
    x = 147,728,050.95/13,957.37
  6. Step 6: Final answer
    x = 10,584.24

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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.