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Finding the Fourth Proportional to 15,137.56, 22,708.32 and 5,002.57

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Solution

The fourth proportional to 15,137.56, 22,708.32 and 5,002.57 is: 7,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.56 : 22,708.32 = 5,002.57 : x
  2. Step 2: Convert to fraction form
    15,137.56/22,708.32 = 5,002.57/x
  3. Step 3: Cross multiply
    15,137.56x = 22,708.32 × 5,002.57
  4. Step 4: Simplify right side
    15,137.56x = 113,599,960.38
  5. Step 5: Solve for x
    x = 113,599,960.38/15,137.56
  6. Step 6: Final answer
    x = 7,504.51

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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.