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Finding the Fourth Proportional to 25,631.82, 35,372.10 and 14,453.82

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Solution

The fourth proportional to 25,631.82, 35,372.10 and 14,453.82 is: 19,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,631.82 : 35,372.10 = 14,453.82 : x
  2. Step 2: Convert to fraction form
    25,631.82/35,372.10 = 14,453.82/x
  3. Step 3: Cross multiply
    25,631.82x = 35,372.10 × 14,453.82
  4. Step 4: Simplify right side
    25,631.82x = 511,261,966.42
  5. Step 5: Solve for x
    x = 511,261,966.42/25,631.82
  6. Step 6: Final answer
    x = 19,946.38

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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.