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Finding the Fourth Proportional to 14,330.40, 19,775.92 and 8,042.80

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Solution

The fourth proportional to 14,330.40, 19,775.92 and 8,042.80 is: 11,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,330.40 : 19,775.92 = 8,042.80 : x
  2. Step 2: Convert to fraction form
    14,330.40/19,775.92 = 8,042.80/x
  3. Step 3: Cross multiply
    14,330.40x = 19,775.92 × 8,042.80
  4. Step 4: Simplify right side
    14,330.40x = 159,053,769.38
  5. Step 5: Solve for x
    x = 159,053,769.38/14,330.40
  6. Step 6: Final answer
    x = 11,099.05

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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.