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Finding the Fourth Proportional to 19,468.40, 29,188.20 and 13,212.80

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Solution

The fourth proportional to 19,468.40, 29,188.20 and 13,212.80 is: 19,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,468.40 : 29,188.20 = 13,212.80 : x
  2. Step 2: Convert to fraction form
    19,468.40/29,188.20 = 13,212.80/x
  3. Step 3: Cross multiply
    19,468.40x = 29,188.20 × 13,212.80
  4. Step 4: Simplify right side
    19,468.40x = 385,657,848.96
  5. Step 5: Solve for x
    x = 385,657,848.96/19,468.40
  6. Step 6: Final answer
    x = 19,809.43

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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.