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Finding the Fourth Proportional to 13,186.12, 19,752.06 and 6,512.68

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Solution

The fourth proportional to 13,186.12, 19,752.06 and 6,512.68 is: 9,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.12 : 19,752.06 = 6,512.68 : x
  2. Step 2: Convert to fraction form
    13,186.12/19,752.06 = 6,512.68/x
  3. Step 3: Cross multiply
    13,186.12x = 19,752.06 × 6,512.68
  4. Step 4: Simplify right side
    13,186.12x = 128,638,846.12
  5. Step 5: Solve for x
    x = 128,638,846.12/13,186.12
  6. Step 6: Final answer
    x = 9,755.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.