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Finding the Fourth Proportional to 19,970, 29,974.84 and 10,610.10

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Solution

The fourth proportional to 19,970, 29,974.84 and 10,610.10 is: 15,925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970 : 29,974.84 = 10,610.10 : x
  2. Step 2: Convert to fraction form
    19,970/29,974.84 = 10,610.10/x
  3. Step 3: Cross multiply
    19,970x = 29,974.84 × 10,610.10
  4. Step 4: Simplify right side
    19,970x = 318,036,049.88
  5. Step 5: Solve for x
    x = 318,036,049.88/19,970
  6. Step 6: Final answer
    x = 15,925.69

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