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Finding the Fourth Proportional to 22,672, 31,287.36 and 12,736

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Solution

The fourth proportional to 22,672, 31,287.36 and 12,736 is: 17,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672 : 31,287.36 = 12,736 : x
  2. Step 2: Convert to fraction form
    22,672/31,287.36 = 12,736/x
  3. Step 3: Cross multiply
    22,672x = 31,287.36 × 12,736
  4. Step 4: Simplify right side
    22,672x = 398,475,816.96
  5. Step 5: Solve for x
    x = 398,475,816.96/22,672
  6. Step 6: Final answer
    x = 17,575.68

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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.