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Finding the Fourth Proportional to 13,166.76, 18,170.68 and 7,577.76

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Solution

The fourth proportional to 13,166.76, 18,170.68 and 7,577.76 is: 10,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.76 : 18,170.68 = 7,577.76 : x
  2. Step 2: Convert to fraction form
    13,166.76/18,170.68 = 7,577.76/x
  3. Step 3: Cross multiply
    13,166.76x = 18,170.68 × 7,577.76
  4. Step 4: Simplify right side
    13,166.76x = 137,693,052.08
  5. Step 5: Solve for x
    x = 137,693,052.08/13,166.76
  6. Step 6: Final answer
    x = 10,457.63

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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.