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Finding the Fourth Proportional to 15,689.44, 23,527.24 and 7,371.82

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Solution

The fourth proportional to 15,689.44, 23,527.24 and 7,371.82 is: 11,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.44 : 23,527.24 = 7,371.82 : x
  2. Step 2: Convert to fraction form
    15,689.44/23,527.24 = 7,371.82/x
  3. Step 3: Cross multiply
    15,689.44x = 23,527.24 × 7,371.82
  4. Step 4: Simplify right side
    15,689.44x = 173,438,578.38
  5. Step 5: Solve for x
    x = 173,438,578.38/15,689.44
  6. Step 6: Final answer
    x = 11,054.48

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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.