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Finding the Fourth Proportional to 13,114.56, 18,091.68 and 7,807.68

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Solution

The fourth proportional to 13,114.56, 18,091.68 and 7,807.68 is: 10,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.56 : 18,091.68 = 7,807.68 : x
  2. Step 2: Convert to fraction form
    13,114.56/18,091.68 = 7,807.68/x
  3. Step 3: Cross multiply
    13,114.56x = 18,091.68 × 7,807.68
  4. Step 4: Simplify right side
    13,114.56x = 141,254,048.10
  5. Step 5: Solve for x
    x = 141,254,048.10/13,114.56
  6. Step 6: Final answer
    x = 10,770.78

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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.