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Finding the Fourth Proportional to 25,857.01, 35,678.78 and 14,524.33

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Solution

The fourth proportional to 25,857.01, 35,678.78 and 14,524.33 is: 20,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.01 : 35,678.78 = 14,524.33 : x
  2. Step 2: Convert to fraction form
    25,857.01/35,678.78 = 14,524.33/x
  3. Step 3: Cross multiply
    25,857.01x = 35,678.78 × 14,524.33
  4. Step 4: Simplify right side
    25,857.01x = 518,210,374.72
  5. Step 5: Solve for x
    x = 518,210,374.72/25,857.01
  6. Step 6: Final answer
    x = 20,041.39

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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.