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Finding the Fourth Proportional to 22,431.32, 30,950.25 and 12,994.41

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Solution

The fourth proportional to 22,431.32, 30,950.25 and 12,994.41 is: 17,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.32 : 30,950.25 = 12,994.41 : x
  2. Step 2: Convert to fraction form
    22,431.32/30,950.25 = 12,994.41/x
  3. Step 3: Cross multiply
    22,431.32x = 30,950.25 × 12,994.41
  4. Step 4: Simplify right side
    22,431.32x = 402,180,238.10
  5. Step 5: Solve for x
    x = 402,180,238.10/22,431.32
  6. Step 6: Final answer
    x = 17,929.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.