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Finding the Fourth Proportional to 14,826, 20,459.88 and 8,202

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Solution

The fourth proportional to 14,826, 20,459.88 and 8,202 is: 11,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,826 : 20,459.88 = 8,202 : x
  2. Step 2: Convert to fraction form
    14,826/20,459.88 = 8,202/x
  3. Step 3: Cross multiply
    14,826x = 20,459.88 × 8,202
  4. Step 4: Simplify right side
    14,826x = 167,811,935.76
  5. Step 5: Solve for x
    x = 167,811,935.76/14,826
  6. Step 6: Final answer
    x = 11,318.76

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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.