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Finding the Fourth Proportional to 22,106.46, 30,507.41 and 12,546.98

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Solution

The fourth proportional to 22,106.46, 30,507.41 and 12,546.98 is: 17,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.46 : 30,507.41 = 12,546.98 : x
  2. Step 2: Convert to fraction form
    22,106.46/30,507.41 = 12,546.98/x
  3. Step 3: Cross multiply
    22,106.46x = 30,507.41 × 12,546.98
  4. Step 4: Simplify right side
    22,106.46x = 382,775,863.12
  5. Step 5: Solve for x
    x = 382,775,863.12/22,106.46
  6. Step 6: Final answer
    x = 17,315.11

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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.