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Finding the Fourth Proportional to 14,230.40, 21,327.60 and 5,453.60

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Solution

The fourth proportional to 14,230.40, 21,327.60 and 5,453.60 is: 8,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.40 : 21,327.60 = 5,453.60 : x
  2. Step 2: Convert to fraction form
    14,230.40/21,327.60 = 5,453.60/x
  3. Step 3: Cross multiply
    14,230.40x = 21,327.60 × 5,453.60
  4. Step 4: Simplify right side
    14,230.40x = 116,312,199.36
  5. Step 5: Solve for x
    x = 116,312,199.36/14,230.40
  6. Step 6: Final answer
    x = 8,173.50

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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.