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Finding the Fourth Proportional to 14,852.58, 20,522.46 and 11,691

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Solution

The fourth proportional to 14,852.58, 20,522.46 and 11,691 is: 16,153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.58 : 20,522.46 = 11,691 : x
  2. Step 2: Convert to fraction form
    14,852.58/20,522.46 = 11,691/x
  3. Step 3: Cross multiply
    14,852.58x = 20,522.46 × 11,691
  4. Step 4: Simplify right side
    14,852.58x = 239,928,079.86
  5. Step 5: Solve for x
    x = 239,928,079.86/14,852.58
  6. Step 6: Final answer
    x = 16,153.97

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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.