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Finding the Fourth Proportional to 14,205.08, 19,602.92 and 8,240.20

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Solution

The fourth proportional to 14,205.08, 19,602.92 and 8,240.20 is: 11,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.08 : 19,602.92 = 8,240.20 : x
  2. Step 2: Convert to fraction form
    14,205.08/19,602.92 = 8,240.20/x
  3. Step 3: Cross multiply
    14,205.08x = 19,602.92 × 8,240.20
  4. Step 4: Simplify right side
    14,205.08x = 161,531,981.38
  5. Step 5: Solve for x
    x = 161,531,981.38/14,205.08
  6. Step 6: Final answer
    x = 11,371.42

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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.