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Finding the Fourth Proportional to 20,960.64, 28,922.40 and 12,006

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Solution

The fourth proportional to 20,960.64, 28,922.40 and 12,006 is: 16,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,960.64 : 28,922.40 = 12,006 : x
  2. Step 2: Convert to fraction form
    20,960.64/28,922.40 = 12,006/x
  3. Step 3: Cross multiply
    20,960.64x = 28,922.40 × 12,006
  4. Step 4: Simplify right side
    20,960.64x = 347,242,334.40
  5. Step 5: Solve for x
    x = 347,242,334.40/20,960.64
  6. Step 6: Final answer
    x = 16,566.40

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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.