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Finding the Fourth Proportional to 20,315.56, 30,459.03 and 7,825.12

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Solution

The fourth proportional to 20,315.56, 30,459.03 and 7,825.12 is: 11,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.56 : 30,459.03 = 7,825.12 : x
  2. Step 2: Convert to fraction form
    20,315.56/30,459.03 = 7,825.12/x
  3. Step 3: Cross multiply
    20,315.56x = 30,459.03 × 7,825.12
  4. Step 4: Simplify right side
    20,315.56x = 238,345,564.83
  5. Step 5: Solve for x
    x = 238,345,564.83/20,315.56
  6. Step 6: Final answer
    x = 11,732.17

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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.