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Finding the Fourth Proportional to 14,400, 19,880.64 and 9,440.64

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Solution

The fourth proportional to 14,400, 19,880.64 and 9,440.64 is: 13,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400 : 19,880.64 = 9,440.64 : x
  2. Step 2: Convert to fraction form
    14,400/19,880.64 = 9,440.64/x
  3. Step 3: Cross multiply
    14,400x = 19,880.64 × 9,440.64
  4. Step 4: Simplify right side
    14,400x = 187,685,965.21
  5. Step 5: Solve for x
    x = 187,685,965.21/14,400
  6. Step 6: Final answer
    x = 13,033.75

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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.