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Finding the Fourth Proportional to 14,847.40, 20,483.71 and 8,474.34

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Solution

The fourth proportional to 14,847.40, 20,483.71 and 8,474.34 is: 11,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.40 : 20,483.71 = 8,474.34 : x
  2. Step 2: Convert to fraction form
    14,847.40/20,483.71 = 8,474.34/x
  3. Step 3: Cross multiply
    14,847.40x = 20,483.71 × 8,474.34
  4. Step 4: Simplify right side
    14,847.40x = 173,585,901.82
  5. Step 5: Solve for x
    x = 173,585,901.82/14,847.40
  6. Step 6: Final answer
    x = 11,691.34

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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.