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Finding the Fourth Proportional to 25,343.51, 34,974.26 and 14,012.42

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Solution

The fourth proportional to 25,343.51, 34,974.26 and 14,012.42 is: 19,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,343.51 : 34,974.26 = 14,012.42 : x
  2. Step 2: Convert to fraction form
    25,343.51/34,974.26 = 14,012.42/x
  3. Step 3: Cross multiply
    25,343.51x = 34,974.26 × 14,012.42
  4. Step 4: Simplify right side
    25,343.51x = 490,073,775.38
  5. Step 5: Solve for x
    x = 490,073,775.38/25,343.51
  6. Step 6: Final answer
    x = 19,337.25

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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.