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Finding the Fourth Proportional to 22,152.42, 30,561.84 and 14,193.36

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Solution

The fourth proportional to 22,152.42, 30,561.84 and 14,193.36 is: 19,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,152.42 : 30,561.84 = 14,193.36 : x
  2. Step 2: Convert to fraction form
    22,152.42/30,561.84 = 14,193.36/x
  3. Step 3: Cross multiply
    22,152.42x = 30,561.84 × 14,193.36
  4. Step 4: Simplify right side
    22,152.42x = 433,775,197.38
  5. Step 5: Solve for x
    x = 433,775,197.38/22,152.42
  6. Step 6: Final answer
    x = 19,581.39

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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.