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Finding the Fourth Proportional to 20,754.51, 31,131.64 and 9,655.08

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Solution

The fourth proportional to 20,754.51, 31,131.64 and 9,655.08 is: 14,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754.51 : 31,131.64 = 9,655.08 : x
  2. Step 2: Convert to fraction form
    20,754.51/31,131.64 = 9,655.08/x
  3. Step 3: Cross multiply
    20,754.51x = 31,131.64 × 9,655.08
  4. Step 4: Simplify right side
    20,754.51x = 300,578,474.73
  5. Step 5: Solve for x
    x = 300,578,474.73/20,754.51
  6. Step 6: Final answer
    x = 14,482.56

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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.