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Finding the Fourth Proportional to 14,521.84, 20,039.84 and 8,234.08

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Solution

The fourth proportional to 14,521.84, 20,039.84 and 8,234.08 is: 11,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.84 : 20,039.84 = 8,234.08 : x
  2. Step 2: Convert to fraction form
    14,521.84/20,039.84 = 8,234.08/x
  3. Step 3: Cross multiply
    14,521.84x = 20,039.84 × 8,234.08
  4. Step 4: Simplify right side
    14,521.84x = 165,009,645.75
  5. Step 5: Solve for x
    x = 165,009,645.75/14,521.84
  6. Step 6: Final answer
    x = 11,362.86

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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.