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Finding the Fourth Proportional to 19,945.38, 29,915.74 and 5,153.14

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Solution

The fourth proportional to 19,945.38, 29,915.74 and 5,153.14 is: 7,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,945.38 : 29,915.74 = 5,153.14 : x
  2. Step 2: Convert to fraction form
    19,945.38/29,915.74 = 5,153.14/x
  3. Step 3: Cross multiply
    19,945.38x = 29,915.74 × 5,153.14
  4. Step 4: Simplify right side
    19,945.38x = 154,159,996.42
  5. Step 5: Solve for x
    x = 154,159,996.42/19,945.38
  6. Step 6: Final answer
    x = 7,729.11

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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.