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Finding the Fourth Proportional to 25,119, 34,665.84 and 13,941

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Solution

The fourth proportional to 25,119, 34,665.84 and 13,941 is: 19,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,119 : 34,665.84 = 13,941 : x
  2. Step 2: Convert to fraction form
    25,119/34,665.84 = 13,941/x
  3. Step 3: Cross multiply
    25,119x = 34,665.84 × 13,941
  4. Step 4: Simplify right side
    25,119x = 483,276,475.44
  5. Step 5: Solve for x
    x = 483,276,475.44/25,119
  6. Step 6: Final answer
    x = 19,239.48

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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.