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Finding the Fourth Proportional to 17,449.50, 26,178.57 and 5,137.50

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Solution

The fourth proportional to 17,449.50, 26,178.57 and 5,137.50 is: 7,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,449.50 : 26,178.57 = 5,137.50 : x
  2. Step 2: Convert to fraction form
    17,449.50/26,178.57 = 5,137.50/x
  3. Step 3: Cross multiply
    17,449.50x = 26,178.57 × 5,137.50
  4. Step 4: Simplify right side
    17,449.50x = 134,492,403.38
  5. Step 5: Solve for x
    x = 134,492,403.38/17,449.50
  6. Step 6: Final answer
    x = 7,707.52

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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.