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Finding the Fourth Proportional to 14,205.45, 19,602.09 and 8,239.11

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Solution

The fourth proportional to 14,205.45, 19,602.09 and 8,239.11 is: 11,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.45 : 19,602.09 = 8,239.11 : x
  2. Step 2: Convert to fraction form
    14,205.45/19,602.09 = 8,239.11/x
  3. Step 3: Cross multiply
    14,205.45x = 19,602.09 × 8,239.11
  4. Step 4: Simplify right side
    14,205.45x = 161,503,775.74
  5. Step 5: Solve for x
    x = 161,503,775.74/14,205.45
  6. Step 6: Final answer
    x = 11,369.14

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Why These Related Problems?

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