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Finding the Fourth Proportional to 13,957.42, 19,280.84 and 12,696.25

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Solution

The fourth proportional to 13,957.42, 19,280.84 and 12,696.25 is: 17,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.42 : 19,280.84 = 12,696.25 : x
  2. Step 2: Convert to fraction form
    13,957.42/19,280.84 = 12,696.25/x
  3. Step 3: Cross multiply
    13,957.42x = 19,280.84 × 12,696.25
  4. Step 4: Simplify right side
    13,957.42x = 244,794,364.85
  5. Step 5: Solve for x
    x = 244,794,364.85/13,957.42
  6. Step 6: Final answer
    x = 17,538.65

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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.