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Finding the Fourth Proportional to 25,463.82, 35,140.07 and 14,285.82

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Solution

The fourth proportional to 25,463.82, 35,140.07 and 14,285.82 is: 19,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,463.82 : 35,140.07 = 14,285.82 : x
  2. Step 2: Convert to fraction form
    25,463.82/35,140.07 = 14,285.82/x
  3. Step 3: Cross multiply
    25,463.82x = 35,140.07 × 14,285.82
  4. Step 4: Simplify right side
    25,463.82x = 502,004,643.38
  5. Step 5: Solve for x
    x = 502,004,643.38/25,463.82
  6. Step 6: Final answer
    x = 19,714.43

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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.