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Finding the Fourth Proportional to 15,586.72, 23,382 and 6,351.52

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Solution

The fourth proportional to 15,586.72, 23,382 and 6,351.52 is: 9,528.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586.72 : 23,382 = 6,351.52 : x
  2. Step 2: Convert to fraction form
    15,586.72/23,382 = 6,351.52/x
  3. Step 3: Cross multiply
    15,586.72x = 23,382 × 6,351.52
  4. Step 4: Simplify right side
    15,586.72x = 148,511,240.64
  5. Step 5: Solve for x
    x = 148,511,240.64/15,586.72
  6. Step 6: Final answer
    x = 9,528.06

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Why These Related Problems?

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