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Finding the Fourth Proportional to 14,914.56, 20,584.08 and 9,624.78

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Solution

The fourth proportional to 14,914.56, 20,584.08 and 9,624.78 is: 13,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.56 : 20,584.08 = 9,624.78 : x
  2. Step 2: Convert to fraction form
    14,914.56/20,584.08 = 9,624.78/x
  3. Step 3: Cross multiply
    14,914.56x = 20,584.08 × 9,624.78
  4. Step 4: Simplify right side
    14,914.56x = 198,117,241.50
  5. Step 5: Solve for x
    x = 198,117,241.50/14,914.56
  6. Step 6: Final answer
    x = 13,283.48

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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.