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Finding the Fourth Proportional to 14,954.70, 20,637.96 and 8,582.46

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Solution

The fourth proportional to 14,954.70, 20,637.96 and 8,582.46 is: 11,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954.70 : 20,637.96 = 8,582.46 : x
  2. Step 2: Convert to fraction form
    14,954.70/20,637.96 = 8,582.46/x
  3. Step 3: Cross multiply
    14,954.70x = 20,637.96 × 8,582.46
  4. Step 4: Simplify right side
    14,954.70x = 177,124,466.18
  5. Step 5: Solve for x
    x = 177,124,466.18/14,954.70
  6. Step 6: Final answer
    x = 11,844.07

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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.