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Finding the Fourth Proportional to 16,571.64, 24,821 and 10,710.48

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Solution

The fourth proportional to 16,571.64, 24,821 and 10,710.48 is: 16,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,571.64 : 24,821 = 10,710.48 : x
  2. Step 2: Convert to fraction form
    16,571.64/24,821 = 10,710.48/x
  3. Step 3: Cross multiply
    16,571.64x = 24,821 × 10,710.48
  4. Step 4: Simplify right side
    16,571.64x = 265,844,824.08
  5. Step 5: Solve for x
    x = 265,844,824.08/16,571.64
  6. Step 6: Final answer
    x = 16,042.16

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