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Finding the Fourth Proportional to 14,678.60, 20,257.46 and 8,305.18

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Solution

The fourth proportional to 14,678.60, 20,257.46 and 8,305.18 is: 11,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.60 : 20,257.46 = 8,305.18 : x
  2. Step 2: Convert to fraction form
    14,678.60/20,257.46 = 8,305.18/x
  3. Step 3: Cross multiply
    14,678.60x = 20,257.46 × 8,305.18
  4. Step 4: Simplify right side
    14,678.60x = 168,241,904.57
  5. Step 5: Solve for x
    x = 168,241,904.57/14,678.60
  6. Step 6: Final answer
    x = 11,461.71

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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.