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Finding the Fourth Proportional to 13,783.90, 20,675.85 and 13,246.30

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Solution

The fourth proportional to 13,783.90, 20,675.85 and 13,246.30 is: 19,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.90 : 20,675.85 = 13,246.30 : x
  2. Step 2: Convert to fraction form
    13,783.90/20,675.85 = 13,246.30/x
  3. Step 3: Cross multiply
    13,783.90x = 20,675.85 × 13,246.30
  4. Step 4: Simplify right side
    13,783.90x = 273,878,511.86
  5. Step 5: Solve for x
    x = 273,878,511.86/13,783.90
  6. Step 6: Final answer
    x = 19,869.45

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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.