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Finding the Fourth Proportional to 22,971.36, 31,695.12 and 16,672.80

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Solution

The fourth proportional to 22,971.36, 31,695.12 and 16,672.80 is: 23,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.36 : 31,695.12 = 16,672.80 : x
  2. Step 2: Convert to fraction form
    22,971.36/31,695.12 = 16,672.80/x
  3. Step 3: Cross multiply
    22,971.36x = 31,695.12 × 16,672.80
  4. Step 4: Simplify right side
    22,971.36x = 528,446,396.74
  5. Step 5: Solve for x
    x = 528,446,396.74/22,971.36
  6. Step 6: Final answer
    x = 23,004.58

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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.