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Finding the Fourth Proportional to 12,567.96, 18,852 and 3,802.80

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Solution

The fourth proportional to 12,567.96, 18,852 and 3,802.80 is: 5,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.96 : 18,852 = 3,802.80 : x
  2. Step 2: Convert to fraction form
    12,567.96/18,852 = 3,802.80/x
  3. Step 3: Cross multiply
    12,567.96x = 18,852 × 3,802.80
  4. Step 4: Simplify right side
    12,567.96x = 71,690,385.60
  5. Step 5: Solve for x
    x = 71,690,385.60/12,567.96
  6. Step 6: Final answer
    x = 5,704.22

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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.