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Finding the Fourth Proportional to 13,752.36, 20,628.54 and 5,961

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Solution

The fourth proportional to 13,752.36, 20,628.54 and 5,961 is: 8,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.36 : 20,628.54 = 5,961 : x
  2. Step 2: Convert to fraction form
    13,752.36/20,628.54 = 5,961/x
  3. Step 3: Cross multiply
    13,752.36x = 20,628.54 × 5,961
  4. Step 4: Simplify right side
    13,752.36x = 122,966,726.94
  5. Step 5: Solve for x
    x = 122,966,726.94/13,752.36
  6. Step 6: Final answer
    x = 8,941.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.