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Finding the Fourth Proportional to 25,693.38, 35,456.10 and 14,362.94

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Solution

The fourth proportional to 25,693.38, 35,456.10 and 14,362.94 is: 19,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.38 : 35,456.10 = 14,362.94 : x
  2. Step 2: Convert to fraction form
    25,693.38/35,456.10 = 14,362.94/x
  3. Step 3: Cross multiply
    25,693.38x = 35,456.10 × 14,362.94
  4. Step 4: Simplify right side
    25,693.38x = 509,253,659.65
  5. Step 5: Solve for x
    x = 509,253,659.65/25,693.38
  6. Step 6: Final answer
    x = 19,820.42

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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.