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Finding the Fourth Proportional to 14,727.21, 20,323.55 and 8,012.84

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Solution

The fourth proportional to 14,727.21, 20,323.55 and 8,012.84 is: 11,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727.21 : 20,323.55 = 8,012.84 : x
  2. Step 2: Convert to fraction form
    14,727.21/20,323.55 = 8,012.84/x
  3. Step 3: Cross multiply
    14,727.21x = 20,323.55 × 8,012.84
  4. Step 4: Simplify right side
    14,727.21x = 162,849,354.38
  5. Step 5: Solve for x
    x = 162,849,354.38/14,727.21
  6. Step 6: Final answer
    x = 11,057.72

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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.