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Finding the Fourth Proportional to 12,908.34, 19,354.72 and 5,791.28

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Solution

The fourth proportional to 12,908.34, 19,354.72 and 5,791.28 is: 8,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.34 : 19,354.72 = 5,791.28 : x
  2. Step 2: Convert to fraction form
    12,908.34/19,354.72 = 5,791.28/x
  3. Step 3: Cross multiply
    12,908.34x = 19,354.72 × 5,791.28
  4. Step 4: Simplify right side
    12,908.34x = 112,088,573.89
  5. Step 5: Solve for x
    x = 112,088,573.89/12,908.34
  6. Step 6: Final answer
    x = 8,683.42

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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.