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Finding the Fourth Proportional to 14,836, 20,473.74 and 8,212

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Solution

The fourth proportional to 14,836, 20,473.74 and 8,212 is: 11,332.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836 : 20,473.74 = 8,212 : x
  2. Step 2: Convert to fraction form
    14,836/20,473.74 = 8,212/x
  3. Step 3: Cross multiply
    14,836x = 20,473.74 × 8,212
  4. Step 4: Simplify right side
    14,836x = 168,130,352.88
  5. Step 5: Solve for x
    x = 168,130,352.88/14,836
  6. Step 6: Final answer
    x = 11,332.59

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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.