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Finding the Fourth Proportional to 14,723.84, 20,318.85 and 8,009.35

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Solution

The fourth proportional to 14,723.84, 20,318.85 and 8,009.35 is: 11,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,723.84 : 20,318.85 = 8,009.35 : x
  2. Step 2: Convert to fraction form
    14,723.84/20,318.85 = 8,009.35/x
  3. Step 3: Cross multiply
    14,723.84x = 20,318.85 × 8,009.35
  4. Step 4: Simplify right side
    14,723.84x = 162,740,730.45
  5. Step 5: Solve for x
    x = 162,740,730.45/14,723.84
  6. Step 6: Final answer
    x = 11,052.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.