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Finding the Fourth Proportional to 22,113.10, 33,170 and 12,314.68

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Solution

The fourth proportional to 22,113.10, 33,170 and 12,314.68 is: 18,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,113.10 : 33,170 = 12,314.68 : x
  2. Step 2: Convert to fraction form
    22,113.10/33,170 = 12,314.68/x
  3. Step 3: Cross multiply
    22,113.10x = 33,170 × 12,314.68
  4. Step 4: Simplify right side
    22,113.10x = 408,477,935.60
  5. Step 5: Solve for x
    x = 408,477,935.60/22,113.10
  6. Step 6: Final answer
    x = 18,472.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.