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Finding the Fourth Proportional to 12,477.91, 17,213.31 and 7,438.58

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Solution

The fourth proportional to 12,477.91, 17,213.31 and 7,438.58 is: 10,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.91 : 17,213.31 = 7,438.58 : x
  2. Step 2: Convert to fraction form
    12,477.91/17,213.31 = 7,438.58/x
  3. Step 3: Cross multiply
    12,477.91x = 17,213.31 × 7,438.58
  4. Step 4: Simplify right side
    12,477.91x = 128,042,579.01
  5. Step 5: Solve for x
    x = 128,042,579.01/12,477.91
  6. Step 6: Final answer
    x = 10,261.54

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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.