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Finding the Fourth Proportional to 22,661.47, 31,272.12 and 12,452.48

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Solution

The fourth proportional to 22,661.47, 31,272.12 and 12,452.48 is: 17,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.47 : 31,272.12 = 12,452.48 : x
  2. Step 2: Convert to fraction form
    22,661.47/31,272.12 = 12,452.48/x
  3. Step 3: Cross multiply
    22,661.47x = 31,272.12 × 12,452.48
  4. Step 4: Simplify right side
    22,661.47x = 389,415,292.50
  5. Step 5: Solve for x
    x = 389,415,292.50/22,661.47
  6. Step 6: Final answer
    x = 17,184.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.