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Finding the Fourth Proportional to 24,783.50, 34,201.47 and 13,605.74

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Solution

The fourth proportional to 24,783.50, 34,201.47 and 13,605.74 is: 18,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.50 : 34,201.47 = 13,605.74 : x
  2. Step 2: Convert to fraction form
    24,783.50/34,201.47 = 13,605.74/x
  3. Step 3: Cross multiply
    24,783.50x = 34,201.47 × 13,605.74
  4. Step 4: Simplify right side
    24,783.50x = 465,336,308.44
  5. Step 5: Solve for x
    x = 465,336,308.44/24,783.50
  6. Step 6: Final answer
    x = 18,776.05

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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.