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Finding the Fourth Proportional to 20,118.84, 27,756.38 and 14,826.28

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Solution

The fourth proportional to 20,118.84, 27,756.38 and 14,826.28 is: 20,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,118.84 : 27,756.38 = 14,826.28 : x
  2. Step 2: Convert to fraction form
    20,118.84/27,756.38 = 14,826.28/x
  3. Step 3: Cross multiply
    20,118.84x = 27,756.38 × 14,826.28
  4. Step 4: Simplify right side
    20,118.84x = 411,523,861.67
  5. Step 5: Solve for x
    x = 411,523,861.67/20,118.84
  6. Step 6: Final answer
    x = 20,454.65

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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.