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Finding the Fourth Proportional to 24,784.70, 34,202.90 and 13,454.19

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Solution

The fourth proportional to 24,784.70, 34,202.90 and 13,454.19 is: 18,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.70 : 34,202.90 = 13,454.19 : x
  2. Step 2: Convert to fraction form
    24,784.70/34,202.90 = 13,454.19/x
  3. Step 3: Cross multiply
    24,784.70x = 34,202.90 × 13,454.19
  4. Step 4: Simplify right side
    24,784.70x = 460,172,315.15
  5. Step 5: Solve for x
    x = 460,172,315.15/24,784.70
  6. Step 6: Final answer
    x = 18,566.79

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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.