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Finding the Fourth Proportional to 14,609.81, 21,914.58 and 6,295.70

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Solution

The fourth proportional to 14,609.81, 21,914.58 and 6,295.70 is: 9,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.81 : 21,914.58 = 6,295.70 : x
  2. Step 2: Convert to fraction form
    14,609.81/21,914.58 = 6,295.70/x
  3. Step 3: Cross multiply
    14,609.81x = 21,914.58 × 6,295.70
  4. Step 4: Simplify right side
    14,609.81x = 137,967,621.31
  5. Step 5: Solve for x
    x = 137,967,621.31/14,609.81
  6. Step 6: Final answer
    x = 9,443.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.