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Finding the Fourth Proportional to 19,696.56, 29,475.44 and 12,304.50

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Solution

The fourth proportional to 19,696.56, 29,475.44 and 12,304.50 is: 18,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.56 : 29,475.44 = 12,304.50 : x
  2. Step 2: Convert to fraction form
    19,696.56/29,475.44 = 12,304.50/x
  3. Step 3: Cross multiply
    19,696.56x = 29,475.44 × 12,304.50
  4. Step 4: Simplify right side
    19,696.56x = 362,680,551.48
  5. Step 5: Solve for x
    x = 362,680,551.48/19,696.56
  6. Step 6: Final answer
    x = 18,413.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.