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Finding the Fourth Proportional to 24,515.27, 33,830 and 13,612.73

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Solution

The fourth proportional to 24,515.27, 33,830 and 13,612.73 is: 18,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515.27 : 33,830 = 13,612.73 : x
  2. Step 2: Convert to fraction form
    24,515.27/33,830 = 13,612.73/x
  3. Step 3: Cross multiply
    24,515.27x = 33,830 × 13,612.73
  4. Step 4: Simplify right side
    24,515.27x = 460,518,486.75
  5. Step 5: Solve for x
    x = 460,518,486.75/24,515.27
  6. Step 6: Final answer
    x = 18,784.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.