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Finding the Fourth Proportional to 19,974.74, 29,966.93 and 7,494.86

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Solution

The fourth proportional to 19,974.74, 29,966.93 and 7,494.86 is: 11,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.74 : 29,966.93 = 7,494.86 : x
  2. Step 2: Convert to fraction form
    19,974.74/29,966.93 = 7,494.86/x
  3. Step 3: Cross multiply
    19,974.74x = 29,966.93 × 7,494.86
  4. Step 4: Simplify right side
    19,974.74x = 224,598,010.53
  5. Step 5: Solve for x
    x = 224,598,010.53/19,974.74
  6. Step 6: Final answer
    x = 11,244.10

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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.