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Finding the Fourth Proportional to 19,419, 29,065.85 and 10,046.11

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Solution

The fourth proportional to 19,419, 29,065.85 and 10,046.11 is: 15,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419 : 29,065.85 = 10,046.11 : x
  2. Step 2: Convert to fraction form
    19,419/29,065.85 = 10,046.11/x
  3. Step 3: Cross multiply
    19,419x = 29,065.85 × 10,046.11
  4. Step 4: Simplify right side
    19,419x = 291,998,676.11
  5. Step 5: Solve for x
    x = 291,998,676.11/19,419
  6. Step 6: Final answer
    x = 15,036.75

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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.