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Finding the Fourth Proportional to 25,805.84, 35,617.80 and 16,387.28

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Solution

The fourth proportional to 25,805.84, 35,617.80 and 16,387.28 is: 22,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805.84 : 35,617.80 = 16,387.28 : x
  2. Step 2: Convert to fraction form
    25,805.84/35,617.80 = 16,387.28/x
  3. Step 3: Cross multiply
    25,805.84x = 35,617.80 × 16,387.28
  4. Step 4: Simplify right side
    25,805.84x = 583,678,861.58
  5. Step 5: Solve for x
    x = 583,678,861.58/25,805.84
  6. Step 6: Final answer
    x = 22,618.09

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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.