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Finding the Fourth Proportional to 15,535.44, 23,307 and 5,006.34

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Solution

The fourth proportional to 15,535.44, 23,307 and 5,006.34 is: 7,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,535.44 : 23,307 = 5,006.34 : x
  2. Step 2: Convert to fraction form
    15,535.44/23,307 = 5,006.34/x
  3. Step 3: Cross multiply
    15,535.44x = 23,307 × 5,006.34
  4. Step 4: Simplify right side
    15,535.44x = 116,682,766.38
  5. Step 5: Solve for x
    x = 116,682,766.38/15,535.44
  6. Step 6: Final answer
    x = 7,510.75

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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.