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Finding the Fourth Proportional to 24,784.58, 34,202.75 and 13,454.07

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Solution

The fourth proportional to 24,784.58, 34,202.75 and 13,454.07 is: 18,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.58 : 34,202.75 = 13,454.07 : x
  2. Step 2: Convert to fraction form
    24,784.58/34,202.75 = 13,454.07/x
  3. Step 3: Cross multiply
    24,784.58x = 34,202.75 × 13,454.07
  4. Step 4: Simplify right side
    24,784.58x = 460,166,226.33
  5. Step 5: Solve for x
    x = 460,166,226.33/24,784.58
  6. Step 6: Final answer
    x = 18,566.63

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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.