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Finding the Fourth Proportional to 12,580.56, 17,367.66 and 9,893.45

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Solution

The fourth proportional to 12,580.56, 17,367.66 and 9,893.45 is: 13,658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.56 : 17,367.66 = 9,893.45 : x
  2. Step 2: Convert to fraction form
    12,580.56/17,367.66 = 9,893.45/x
  3. Step 3: Cross multiply
    12,580.56x = 17,367.66 × 9,893.45
  4. Step 4: Simplify right side
    12,580.56x = 171,825,988.99
  5. Step 5: Solve for x
    x = 171,825,988.99/12,580.56
  6. Step 6: Final answer
    x = 13,658.06

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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.