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Finding the Fourth Proportional to 25,422.38, 35,082.93 and 14,092.05

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Solution

The fourth proportional to 25,422.38, 35,082.93 and 14,092.05 is: 19,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422.38 : 35,082.93 = 14,092.05 : x
  2. Step 2: Convert to fraction form
    25,422.38/35,082.93 = 14,092.05/x
  3. Step 3: Cross multiply
    25,422.38x = 35,082.93 × 14,092.05
  4. Step 4: Simplify right side
    25,422.38x = 494,390,403.71
  5. Step 5: Solve for x
    x = 494,390,403.71/25,422.38
  6. Step 6: Final answer
    x = 19,447.05

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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.