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Finding the Fourth Proportional to 14,241.60, 21,365.76 and 5,476.80

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Solution

The fourth proportional to 14,241.60, 21,365.76 and 5,476.80 is: 8,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.60 : 21,365.76 = 5,476.80 : x
  2. Step 2: Convert to fraction form
    14,241.60/21,365.76 = 5,476.80/x
  3. Step 3: Cross multiply
    14,241.60x = 21,365.76 × 5,476.80
  4. Step 4: Simplify right side
    14,241.60x = 117,015,994.37
  5. Step 5: Solve for x
    x = 117,015,994.37/14,241.60
  6. Step 6: Final answer
    x = 8,216.49

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Why These Related Problems?

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