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Finding the Fourth Proportional to 24,784.35, 34,202.43 and 13,453.84

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Solution

The fourth proportional to 24,784.35, 34,202.43 and 13,453.84 is: 18,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.35 : 34,202.43 = 13,453.84 : x
  2. Step 2: Convert to fraction form
    24,784.35/34,202.43 = 13,453.84/x
  3. Step 3: Cross multiply
    24,784.35x = 34,202.43 × 13,453.84
  4. Step 4: Simplify right side
    24,784.35x = 460,154,020.83
  5. Step 5: Solve for x
    x = 460,154,020.83/24,784.35
  6. Step 6: Final answer
    x = 18,566.31

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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.