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Finding the Fourth Proportional to 22,351.42, 30,848.07 and 14,912.38

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Solution

The fourth proportional to 22,351.42, 30,848.07 and 14,912.38 is: 20,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,351.42 : 30,848.07 = 14,912.38 : x
  2. Step 2: Convert to fraction form
    22,351.42/30,848.07 = 14,912.38/x
  3. Step 3: Cross multiply
    22,351.42x = 30,848.07 × 14,912.38
  4. Step 4: Simplify right side
    22,351.42x = 460,018,142.11
  5. Step 5: Solve for x
    x = 460,018,142.11/22,351.42
  6. Step 6: Final answer
    x = 20,581.16

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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.