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Finding the Fourth Proportional to 25,260, 34,859.04 and 14,082.24

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Solution

The fourth proportional to 25,260, 34,859.04 and 14,082.24 is: 19,433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,260 : 34,859.04 = 14,082.24 : x
  2. Step 2: Convert to fraction form
    25,260/34,859.04 = 14,082.24/x
  3. Step 3: Cross multiply
    25,260x = 34,859.04 × 14,082.24
  4. Step 4: Simplify right side
    25,260x = 490,893,367.45
  5. Step 5: Solve for x
    x = 490,893,367.45/25,260
  6. Step 6: Final answer
    x = 19,433.62

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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.