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Finding the Fourth Proportional to 12,694.93, 19,032.06 and 5,304.89

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Solution

The fourth proportional to 12,694.93, 19,032.06 and 5,304.89 is: 7,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.93 : 19,032.06 = 5,304.89 : x
  2. Step 2: Convert to fraction form
    12,694.93/19,032.06 = 5,304.89/x
  3. Step 3: Cross multiply
    12,694.93x = 19,032.06 × 5,304.89
  4. Step 4: Simplify right side
    12,694.93x = 100,963,052.25
  5. Step 5: Solve for x
    x = 100,963,052.25/12,694.93
  6. Step 6: Final answer
    x = 7,953.02

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