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Finding the Fourth Proportional to 17,730.72, 26,596.16 and 5,250.98

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Solution

The fourth proportional to 17,730.72, 26,596.16 and 5,250.98 is: 7,876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.72 : 26,596.16 = 5,250.98 : x
  2. Step 2: Convert to fraction form
    17,730.72/26,596.16 = 5,250.98/x
  3. Step 3: Cross multiply
    17,730.72x = 26,596.16 × 5,250.98
  4. Step 4: Simplify right side
    17,730.72x = 139,655,771.26
  5. Step 5: Solve for x
    x = 139,655,771.26/17,730.72
  6. Step 6: Final answer
    x = 7,876.49

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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.