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Finding the Fourth Proportional to 24,784.80, 34,202.88 and 13,454.52

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Solution

The fourth proportional to 24,784.80, 34,202.88 and 13,454.52 is: 18,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.80 : 34,202.88 = 13,454.52 : x
  2. Step 2: Convert to fraction form
    24,784.80/34,202.88 = 13,454.52/x
  3. Step 3: Cross multiply
    24,784.80x = 34,202.88 × 13,454.52
  4. Step 4: Simplify right side
    24,784.80x = 460,183,333.02
  5. Step 5: Solve for x
    x = 460,183,333.02/24,784.80
  6. Step 6: Final answer
    x = 18,567.16

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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.