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Finding the Fourth Proportional to 23,880.64, 32,940.64 and 15,394

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Solution

The fourth proportional to 23,880.64, 32,940.64 and 15,394 is: 21,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,880.64 : 32,940.64 = 15,394 : x
  2. Step 2: Convert to fraction form
    23,880.64/32,940.64 = 15,394/x
  3. Step 3: Cross multiply
    23,880.64x = 32,940.64 × 15,394
  4. Step 4: Simplify right side
    23,880.64x = 507,088,212.16
  5. Step 5: Solve for x
    x = 507,088,212.16/23,880.64
  6. Step 6: Final answer
    x = 21,234.28

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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.