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Finding the Fourth Proportional to 12,723.68, 17,559.02 and 7,416.56

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Solution

The fourth proportional to 12,723.68, 17,559.02 and 7,416.56 is: 10,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.68 : 17,559.02 = 7,416.56 : x
  2. Step 2: Convert to fraction form
    12,723.68/17,559.02 = 7,416.56/x
  3. Step 3: Cross multiply
    12,723.68x = 17,559.02 × 7,416.56
  4. Step 4: Simplify right side
    12,723.68x = 130,227,525.37
  5. Step 5: Solve for x
    x = 130,227,525.37/12,723.68
  6. Step 6: Final answer
    x = 10,235.05

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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.