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Finding the Fourth Proportional to 15,844.72, 23,751.40 and 7,510

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Solution

The fourth proportional to 15,844.72, 23,751.40 and 7,510 is: 11,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844.72 : 23,751.40 = 7,510 : x
  2. Step 2: Convert to fraction form
    15,844.72/23,751.40 = 7,510/x
  3. Step 3: Cross multiply
    15,844.72x = 23,751.40 × 7,510
  4. Step 4: Simplify right side
    15,844.72x = 178,373,014
  5. Step 5: Solve for x
    x = 178,373,014/15,844.72
  6. Step 6: Final answer
    x = 11,257.57

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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.