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Finding the Fourth Proportional to 19,414.02, 29,125.17 and 11,098.02

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Solution

The fourth proportional to 19,414.02, 29,125.17 and 11,098.02 is: 16,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414.02 : 29,125.17 = 11,098.02 : x
  2. Step 2: Convert to fraction form
    19,414.02/29,125.17 = 11,098.02/x
  3. Step 3: Cross multiply
    19,414.02x = 29,125.17 × 11,098.02
  4. Step 4: Simplify right side
    19,414.02x = 323,231,719.16
  5. Step 5: Solve for x
    x = 323,231,719.16/19,414.02
  6. Step 6: Final answer
    x = 16,649.40

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Why These Related Problems?

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