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Finding the Fourth Proportional to 25,838.98, 35,662.74 and 16,775.70

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Solution

The fourth proportional to 25,838.98, 35,662.74 and 16,775.70 is: 23,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.98 : 35,662.74 = 16,775.70 : x
  2. Step 2: Convert to fraction form
    25,838.98/35,662.74 = 16,775.70/x
  3. Step 3: Cross multiply
    25,838.98x = 35,662.74 × 16,775.70
  4. Step 4: Simplify right side
    25,838.98x = 598,267,427.42
  5. Step 5: Solve for x
    x = 598,267,427.42/25,838.98
  6. Step 6: Final answer
    x = 23,153.68

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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.