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Finding the Fourth Proportional to 22,951.74, 31,674.90 and 12,880.80

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Solution

The fourth proportional to 22,951.74, 31,674.90 and 12,880.80 is: 17,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.74 : 31,674.90 = 12,880.80 : x
  2. Step 2: Convert to fraction form
    22,951.74/31,674.90 = 12,880.80/x
  3. Step 3: Cross multiply
    22,951.74x = 31,674.90 × 12,880.80
  4. Step 4: Simplify right side
    22,951.74x = 407,998,051.92
  5. Step 5: Solve for x
    x = 407,998,051.92/22,951.74
  6. Step 6: Final answer
    x = 17,776.35

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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.