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Finding the Fourth Proportional to 12,506.08, 17,256 and 7,128.42

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Solution

The fourth proportional to 12,506.08, 17,256 and 7,128.42 is: 9,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.08 : 17,256 = 7,128.42 : x
  2. Step 2: Convert to fraction form
    12,506.08/17,256 = 7,128.42/x
  3. Step 3: Cross multiply
    12,506.08x = 17,256 × 7,128.42
  4. Step 4: Simplify right side
    12,506.08x = 123,008,015.52
  5. Step 5: Solve for x
    x = 123,008,015.52/12,506.08
  6. Step 6: Final answer
    x = 9,835.86

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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.