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Finding the Fourth Proportional to 12,557.42, 17,336.09 and 8,584.37

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Solution

The fourth proportional to 12,557.42, 17,336.09 and 8,584.37 is: 11,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.42 : 17,336.09 = 8,584.37 : x
  2. Step 2: Convert to fraction form
    12,557.42/17,336.09 = 8,584.37/x
  3. Step 3: Cross multiply
    12,557.42x = 17,336.09 × 8,584.37
  4. Step 4: Simplify right side
    12,557.42x = 148,819,410.91
  5. Step 5: Solve for x
    x = 148,819,410.91/12,557.42
  6. Step 6: Final answer
    x = 11,851.11

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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.