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Finding the Fourth Proportional to 22,084.21, 30,465.48 and 13,125.38

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Solution

The fourth proportional to 22,084.21, 30,465.48 and 13,125.38 is: 18,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,084.21 : 30,465.48 = 13,125.38 : x
  2. Step 2: Convert to fraction form
    22,084.21/30,465.48 = 13,125.38/x
  3. Step 3: Cross multiply
    22,084.21x = 30,465.48 × 13,125.38
  4. Step 4: Simplify right side
    22,084.21x = 399,870,849.56
  5. Step 5: Solve for x
    x = 399,870,849.56/22,084.21
  6. Step 6: Final answer
    x = 18,106.64

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Why These Related Problems?

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