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Finding the Fourth Proportional to 24,784.94, 34,202.67 and 13,454.46

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Solution

The fourth proportional to 24,784.94, 34,202.67 and 13,454.46 is: 18,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.94 : 34,202.67 = 13,454.46 : x
  2. Step 2: Convert to fraction form
    24,784.94/34,202.67 = 13,454.46/x
  3. Step 3: Cross multiply
    24,784.94x = 34,202.67 × 13,454.46
  4. Step 4: Simplify right side
    24,784.94x = 460,178,455.41
  5. Step 5: Solve for x
    x = 460,178,455.41/24,784.94
  6. Step 6: Final answer
    x = 18,566.86

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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.