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Finding the Fourth Proportional to 25,382.57, 35,005.06 and 16,420.73

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Solution

The fourth proportional to 25,382.57, 35,005.06 and 16,420.73 is: 22,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,382.57 : 35,005.06 = 16,420.73 : x
  2. Step 2: Convert to fraction form
    25,382.57/35,005.06 = 16,420.73/x
  3. Step 3: Cross multiply
    25,382.57x = 35,005.06 × 16,420.73
  4. Step 4: Simplify right side
    25,382.57x = 574,808,484.39
  5. Step 5: Solve for x
    x = 574,808,484.39/25,382.57
  6. Step 6: Final answer
    x = 22,645.80

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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.