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Finding the Fourth Proportional to 20,310.96, 28,038.24 and 11,928

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Solution

The fourth proportional to 20,310.96, 28,038.24 and 11,928 is: 16,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,310.96 : 28,038.24 = 11,928 : x
  2. Step 2: Convert to fraction form
    20,310.96/28,038.24 = 11,928/x
  3. Step 3: Cross multiply
    20,310.96x = 28,038.24 × 11,928
  4. Step 4: Simplify right side
    20,310.96x = 334,440,126.72
  5. Step 5: Solve for x
    x = 334,440,126.72/20,310.96
  6. Step 6: Final answer
    x = 16,465.99

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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.