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Finding the Fourth Proportional to 25,914.69, 35,767.16 and 16,228.64

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Solution

The fourth proportional to 25,914.69, 35,767.16 and 16,228.64 is: 22,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914.69 : 35,767.16 = 16,228.64 : x
  2. Step 2: Convert to fraction form
    25,914.69/35,767.16 = 16,228.64/x
  3. Step 3: Cross multiply
    25,914.69x = 35,767.16 × 16,228.64
  4. Step 4: Simplify right side
    25,914.69x = 580,452,363.46
  5. Step 5: Solve for x
    x = 580,452,363.46/25,914.69
  6. Step 6: Final answer
    x = 22,398.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.