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Finding the Fourth Proportional to 13,643.78, 20,466.86 and 3,783.15

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Solution

The fourth proportional to 13,643.78, 20,466.86 and 3,783.15 is: 5,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.78 : 20,466.86 = 3,783.15 : x
  2. Step 2: Convert to fraction form
    13,643.78/20,466.86 = 3,783.15/x
  3. Step 3: Cross multiply
    13,643.78x = 20,466.86 × 3,783.15
  4. Step 4: Simplify right side
    13,643.78x = 77,429,182.49
  5. Step 5: Solve for x
    x = 77,429,182.49/13,643.78
  6. Step 6: Final answer
    x = 5,675.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.