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Finding the Fourth Proportional to 16,728.25, 25,084.42 and 9,710.43

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Solution

The fourth proportional to 16,728.25, 25,084.42 and 9,710.43 is: 14,561.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,728.25 : 25,084.42 = 9,710.43 : x
  2. Step 2: Convert to fraction form
    16,728.25/25,084.42 = 9,710.43/x
  3. Step 3: Cross multiply
    16,728.25x = 25,084.42 × 9,710.43
  4. Step 4: Simplify right side
    16,728.25x = 243,580,504.50
  5. Step 5: Solve for x
    x = 243,580,504.50/16,728.25
  6. Step 6: Final answer
    x = 14,561.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.