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Finding the Fourth Proportional to 12,567.57, 18,851.23 and 3,802.48

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Solution

The fourth proportional to 12,567.57, 18,851.23 and 3,802.48 is: 5,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.57 : 18,851.23 = 3,802.48 : x
  2. Step 2: Convert to fraction form
    12,567.57/18,851.23 = 3,802.48/x
  3. Step 3: Cross multiply
    12,567.57x = 18,851.23 × 3,802.48
  4. Step 4: Simplify right side
    12,567.57x = 71,681,425.05
  5. Step 5: Solve for x
    x = 71,681,425.05/12,567.57
  6. Step 6: Final answer
    x = 5,703.68

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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.