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Finding the Fourth Proportional to 22,427.16, 30,948 and 13,469.34

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Solution

The fourth proportional to 22,427.16, 30,948 and 13,469.34 is: 18,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.16 : 30,948 = 13,469.34 : x
  2. Step 2: Convert to fraction form
    22,427.16/30,948 = 13,469.34/x
  3. Step 3: Cross multiply
    22,427.16x = 30,948 × 13,469.34
  4. Step 4: Simplify right side
    22,427.16x = 416,849,134.32
  5. Step 5: Solve for x
    x = 416,849,134.32/22,427.16
  6. Step 6: Final answer
    x = 18,586.80

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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.