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Finding the Fourth Proportional to 19,960.64, 29,923.68 and 7,640

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Solution

The fourth proportional to 19,960.64, 29,923.68 and 7,640 is: 11,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,960.64 : 29,923.68 = 7,640 : x
  2. Step 2: Convert to fraction form
    19,960.64/29,923.68 = 7,640/x
  3. Step 3: Cross multiply
    19,960.64x = 29,923.68 × 7,640
  4. Step 4: Simplify right side
    19,960.64x = 228,616,915.20
  5. Step 5: Solve for x
    x = 228,616,915.20/19,960.64
  6. Step 6: Final answer
    x = 11,453.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.