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Finding the Fourth Proportional to 12,427.34, 17,156.08 and 9,588.33

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Solution

The fourth proportional to 12,427.34, 17,156.08 and 9,588.33 is: 13,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.34 : 17,156.08 = 9,588.33 : x
  2. Step 2: Convert to fraction form
    12,427.34/17,156.08 = 9,588.33/x
  3. Step 3: Cross multiply
    12,427.34x = 17,156.08 × 9,588.33
  4. Step 4: Simplify right side
    12,427.34x = 164,498,114.60
  5. Step 5: Solve for x
    x = 164,498,114.60/12,427.34
  6. Step 6: Final answer
    x = 13,236.80

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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.