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Finding the Fourth Proportional to 14,716, 22,076.75 and 5,957.07

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Solution

The fourth proportional to 14,716, 22,076.75 and 5,957.07 is: 8,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716 : 22,076.75 = 5,957.07 : x
  2. Step 2: Convert to fraction form
    14,716/22,076.75 = 5,957.07/x
  3. Step 3: Cross multiply
    14,716x = 22,076.75 × 5,957.07
  4. Step 4: Simplify right side
    14,716x = 131,512,745.12
  5. Step 5: Solve for x
    x = 131,512,745.12/14,716
  6. Step 6: Final answer
    x = 8,936.72

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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.