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Finding the Fourth Proportional to 20,459.92, 28,234.58 and 11,507.42

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Solution

The fourth proportional to 20,459.92, 28,234.58 and 11,507.42 is: 15,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.92 : 28,234.58 = 11,507.42 : x
  2. Step 2: Convert to fraction form
    20,459.92/28,234.58 = 11,507.42/x
  3. Step 3: Cross multiply
    20,459.92x = 28,234.58 × 11,507.42
  4. Step 4: Simplify right side
    20,459.92x = 324,907,024.81
  5. Step 5: Solve for x
    x = 324,907,024.81/20,459.92
  6. Step 6: Final answer
    x = 15,880.17

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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.