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Finding the Fourth Proportional to 13,957.13, 19,260.84 and 7,669.91

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Solution

The fourth proportional to 13,957.13, 19,260.84 and 7,669.91 is: 10,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.13 : 19,260.84 = 7,669.91 : x
  2. Step 2: Convert to fraction form
    13,957.13/19,260.84 = 7,669.91/x
  3. Step 3: Cross multiply
    13,957.13x = 19,260.84 × 7,669.91
  4. Step 4: Simplify right side
    13,957.13x = 147,728,813.02
  5. Step 5: Solve for x
    x = 147,728,813.02/13,957.13
  6. Step 6: Final answer
    x = 10,584.47

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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.