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Finding the Fourth Proportional to 20,459.50, 28,234.14 and 12,076

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Solution

The fourth proportional to 20,459.50, 28,234.14 and 12,076 is: 16,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.50 : 28,234.14 = 12,076 : x
  2. Step 2: Convert to fraction form
    20,459.50/28,234.14 = 12,076/x
  3. Step 3: Cross multiply
    20,459.50x = 28,234.14 × 12,076
  4. Step 4: Simplify right side
    20,459.50x = 340,955,474.64
  5. Step 5: Solve for x
    x = 340,955,474.64/20,459.50
  6. Step 6: Final answer
    x = 16,664.90

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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.