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Finding the Fourth Proportional to 26,671.50, 40,009.31 and 7,950.10

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Solution

The fourth proportional to 26,671.50, 40,009.31 and 7,950.10 is: 11,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,671.50 : 40,009.31 = 7,950.10 : x
  2. Step 2: Convert to fraction form
    26,671.50/40,009.31 = 7,950.10/x
  3. Step 3: Cross multiply
    26,671.50x = 40,009.31 × 7,950.10
  4. Step 4: Simplify right side
    26,671.50x = 318,078,015.43
  5. Step 5: Solve for x
    x = 318,078,015.43/26,671.50
  6. Step 6: Final answer
    x = 11,925.76

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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.