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Finding the Fourth Proportional to 12,980.34, 17,894.22 and 9,247.86

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Solution

The fourth proportional to 12,980.34, 17,894.22 and 9,247.86 is: 12,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.34 : 17,894.22 = 9,247.86 : x
  2. Step 2: Convert to fraction form
    12,980.34/17,894.22 = 9,247.86/x
  3. Step 3: Cross multiply
    12,980.34x = 17,894.22 × 9,247.86
  4. Step 4: Simplify right side
    12,980.34x = 165,483,241.37
  5. Step 5: Solve for x
    x = 165,483,241.37/12,980.34
  6. Step 6: Final answer
    x = 12,748.76

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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.