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Finding the Fourth Proportional to 14,164.40, 21,214.20 and 7,230.80

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Solution

The fourth proportional to 14,164.40, 21,214.20 and 7,230.80 is: 10,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.40 : 21,214.20 = 7,230.80 : x
  2. Step 2: Convert to fraction form
    14,164.40/21,214.20 = 7,230.80/x
  3. Step 3: Cross multiply
    14,164.40x = 21,214.20 × 7,230.80
  4. Step 4: Simplify right side
    14,164.40x = 153,395,637.36
  5. Step 5: Solve for x
    x = 153,395,637.36/14,164.40
  6. Step 6: Final answer
    x = 10,829.66

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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.