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Finding the Fourth Proportional to 26,325.98, 39,495.22 and 7,857.50

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Solution

The fourth proportional to 26,325.98, 39,495.22 and 7,857.50 is: 11,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,325.98 : 39,495.22 = 7,857.50 : x
  2. Step 2: Convert to fraction form
    26,325.98/39,495.22 = 7,857.50/x
  3. Step 3: Cross multiply
    26,325.98x = 39,495.22 × 7,857.50
  4. Step 4: Simplify right side
    26,325.98x = 310,333,691.15
  5. Step 5: Solve for x
    x = 310,333,691.15/26,325.98
  6. Step 6: Final answer
    x = 11,788.12

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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.