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Finding the Fourth Proportional to 14,402.60, 21,609.30 and 5,643.80

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Solution

The fourth proportional to 14,402.60, 21,609.30 and 5,643.80 is: 8,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.60 : 21,609.30 = 5,643.80 : x
  2. Step 2: Convert to fraction form
    14,402.60/21,609.30 = 5,643.80/x
  3. Step 3: Cross multiply
    14,402.60x = 21,609.30 × 5,643.80
  4. Step 4: Simplify right side
    14,402.60x = 121,958,567.34
  5. Step 5: Solve for x
    x = 121,958,567.34/14,402.60
  6. Step 6: Final answer
    x = 8,467.82

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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.