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Finding the Fourth Proportional to 22,916, 31,624.08 and 12,980

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Solution

The fourth proportional to 22,916, 31,624.08 and 12,980 is: 17,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,916 : 31,624.08 = 12,980 : x
  2. Step 2: Convert to fraction form
    22,916/31,624.08 = 12,980/x
  3. Step 3: Cross multiply
    22,916x = 31,624.08 × 12,980
  4. Step 4: Simplify right side
    22,916x = 410,480,558.40
  5. Step 5: Solve for x
    x = 410,480,558.40/22,916
  6. Step 6: Final answer
    x = 17,912.40

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Why These Related Problems?

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