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Finding the Fourth Proportional to 14,443.28, 19,940.32 and 9,142.64

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Solution

The fourth proportional to 14,443.28, 19,940.32 and 9,142.64 is: 12,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.28 : 19,940.32 = 9,142.64 : x
  2. Step 2: Convert to fraction form
    14,443.28/19,940.32 = 9,142.64/x
  3. Step 3: Cross multiply
    14,443.28x = 19,940.32 × 9,142.64
  4. Step 4: Simplify right side
    14,443.28x = 182,307,167.24
  5. Step 5: Solve for x
    x = 182,307,167.24/14,443.28
  6. Step 6: Final answer
    x = 12,622.28

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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.