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Finding the Fourth Proportional to 13,865.40, 20,786.40 and 6,465.96

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Solution

The fourth proportional to 13,865.40, 20,786.40 and 6,465.96 is: 9,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.40 : 20,786.40 = 6,465.96 : x
  2. Step 2: Convert to fraction form
    13,865.40/20,786.40 = 6,465.96/x
  3. Step 3: Cross multiply
    13,865.40x = 20,786.40 × 6,465.96
  4. Step 4: Simplify right side
    13,865.40x = 134,404,030.94
  5. Step 5: Solve for x
    x = 134,404,030.94/13,865.40
  6. Step 6: Final answer
    x = 9,693.48

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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.