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Finding the Fourth Proportional to 14,206.53, 19,609.31 and 8,239.67

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Solution

The fourth proportional to 14,206.53, 19,609.31 and 8,239.67 is: 11,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.53 : 19,609.31 = 8,239.67 : x
  2. Step 2: Convert to fraction form
    14,206.53/19,609.31 = 8,239.67/x
  3. Step 3: Cross multiply
    14,206.53x = 19,609.31 × 8,239.67
  4. Step 4: Simplify right side
    14,206.53x = 161,574,165.88
  5. Step 5: Solve for x
    x = 161,574,165.88/14,206.53
  6. Step 6: Final answer
    x = 11,373.23

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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.