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Finding the Fourth Proportional to 13,227.49, 19,841.73 and 4,909.60

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Solution

The fourth proportional to 13,227.49, 19,841.73 and 4,909.60 is: 7,364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.49 : 19,841.73 = 4,909.60 : x
  2. Step 2: Convert to fraction form
    13,227.49/19,841.73 = 4,909.60/x
  3. Step 3: Cross multiply
    13,227.49x = 19,841.73 × 4,909.60
  4. Step 4: Simplify right side
    13,227.49x = 97,414,957.61
  5. Step 5: Solve for x
    x = 97,414,957.61/13,227.49
  6. Step 6: Final answer
    x = 7,364.58

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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.