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Finding the Fourth Proportional to 24,206.46, 36,287.82 and 16,814.40

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Solution

The fourth proportional to 24,206.46, 36,287.82 and 16,814.40 is: 25,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206.46 : 36,287.82 = 16,814.40 : x
  2. Step 2: Convert to fraction form
    24,206.46/36,287.82 = 16,814.40/x
  3. Step 3: Cross multiply
    24,206.46x = 36,287.82 × 16,814.40
  4. Step 4: Simplify right side
    24,206.46x = 610,157,920.61
  5. Step 5: Solve for x
    x = 610,157,920.61/24,206.46
  6. Step 6: Final answer
    x = 25,206.41

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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.