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Finding the Fourth Proportional to 24,510, 33,814.12 and 16,009.44

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Solution

The fourth proportional to 24,510, 33,814.12 and 16,009.44 is: 22,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510 : 33,814.12 = 16,009.44 : x
  2. Step 2: Convert to fraction form
    24,510/33,814.12 = 16,009.44/x
  3. Step 3: Cross multiply
    24,510x = 33,814.12 × 16,009.44
  4. Step 4: Simplify right side
    24,510x = 541,345,125.29
  5. Step 5: Solve for x
    x = 541,345,125.29/24,510
  6. Step 6: Final answer
    x = 22,086.70

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1.5x scale

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.