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Finding the Fourth Proportional to 25,880.98, 35,710.05 and 16,463.38

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Solution

The fourth proportional to 25,880.98, 35,710.05 and 16,463.38 is: 22,715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880.98 : 35,710.05 = 16,463.38 : x
  2. Step 2: Convert to fraction form
    25,880.98/35,710.05 = 16,463.38/x
  3. Step 3: Cross multiply
    25,880.98x = 35,710.05 × 16,463.38
  4. Step 4: Simplify right side
    25,880.98x = 587,908,122.97
  5. Step 5: Solve for x
    x = 587,908,122.97/25,880.98
  6. Step 6: Final answer
    x = 22,715.84

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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.