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Finding the Fourth Proportional to 22,472.72, 31,012.32 and 12,913.28

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Solution

The fourth proportional to 22,472.72, 31,012.32 and 12,913.28 is: 17,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.72 : 31,012.32 = 12,913.28 : x
  2. Step 2: Convert to fraction form
    22,472.72/31,012.32 = 12,913.28/x
  3. Step 3: Cross multiply
    22,472.72x = 31,012.32 × 12,913.28
  4. Step 4: Simplify right side
    22,472.72x = 400,470,771.61
  5. Step 5: Solve for x
    x = 400,470,771.61/22,472.72
  6. Step 6: Final answer
    x = 17,820.31

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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.