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Finding the Fourth Proportional to 13,909.64, 19,194.24 and 7,940.49

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Solution

The fourth proportional to 13,909.64, 19,194.24 and 7,940.49 is: 10,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.64 : 19,194.24 = 7,940.49 : x
  2. Step 2: Convert to fraction form
    13,909.64/19,194.24 = 7,940.49/x
  3. Step 3: Cross multiply
    13,909.64x = 19,194.24 × 7,940.49
  4. Step 4: Simplify right side
    13,909.64x = 152,411,670.78
  5. Step 5: Solve for x
    x = 152,411,670.78/13,909.64
  6. Step 6: Final answer
    x = 10,957.27

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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.