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Finding the Fourth Proportional to 23,563.85, 35,346.09 and 7,770.51

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Solution

The fourth proportional to 23,563.85, 35,346.09 and 7,770.51 is: 11,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.85 : 35,346.09 = 7,770.51 : x
  2. Step 2: Convert to fraction form
    23,563.85/35,346.09 = 7,770.51/x
  3. Step 3: Cross multiply
    23,563.85x = 35,346.09 × 7,770.51
  4. Step 4: Simplify right side
    23,563.85x = 274,657,145.81
  5. Step 5: Solve for x
    x = 274,657,145.81/23,563.85
  6. Step 6: Final answer
    x = 11,655.87

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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.