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Finding the Fourth Proportional to 12,567.48, 18,851.22 and 10,198.23

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Solution

The fourth proportional to 12,567.48, 18,851.22 and 10,198.23 is: 15,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.48 : 18,851.22 = 10,198.23 : x
  2. Step 2: Convert to fraction form
    12,567.48/18,851.22 = 10,198.23/x
  3. Step 3: Cross multiply
    12,567.48x = 18,851.22 × 10,198.23
  4. Step 4: Simplify right side
    12,567.48x = 192,249,077.34
  5. Step 5: Solve for x
    x = 192,249,077.34/12,567.48
  6. Step 6: Final answer
    x = 15,297.35

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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.