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Finding the Fourth Proportional to 23,916, 33,004.08 and 13,980

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Solution

The fourth proportional to 23,916, 33,004.08 and 13,980 is: 19,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,916 : 33,004.08 = 13,980 : x
  2. Step 2: Convert to fraction form
    23,916/33,004.08 = 13,980/x
  3. Step 3: Cross multiply
    23,916x = 33,004.08 × 13,980
  4. Step 4: Simplify right side
    23,916x = 461,397,038.40
  5. Step 5: Solve for x
    x = 461,397,038.40/23,916
  6. Step 6: Final answer
    x = 19,292.40

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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.