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Finding the Fourth Proportional to 13,227.68, 19,840.88 and 4,909.32

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Solution

The fourth proportional to 13,227.68, 19,840.88 and 4,909.32 is: 7,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.68 : 19,840.88 = 4,909.32 : x
  2. Step 2: Convert to fraction form
    13,227.68/19,840.88 = 4,909.32/x
  3. Step 3: Cross multiply
    13,227.68x = 19,840.88 × 4,909.32
  4. Step 4: Simplify right side
    13,227.68x = 97,405,241.27
  5. Step 5: Solve for x
    x = 97,405,241.27/13,227.68
  6. Step 6: Final answer
    x = 7,363.74

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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.