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Finding the Fourth Proportional to 14,503.84, 20,015.44 and 8,216.08

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Solution

The fourth proportional to 14,503.84, 20,015.44 and 8,216.08 is: 11,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503.84 : 20,015.44 = 8,216.08 : x
  2. Step 2: Convert to fraction form
    14,503.84/20,015.44 = 8,216.08/x
  3. Step 3: Cross multiply
    14,503.84x = 20,015.44 × 8,216.08
  4. Step 4: Simplify right side
    14,503.84x = 164,448,456.28
  5. Step 5: Solve for x
    x = 164,448,456.28/14,503.84
  6. Step 6: Final answer
    x = 11,338.27

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1.5x scale

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.