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Finding the Fourth Proportional to 13,370.86, 20,056.29 and 6,440.50

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Solution

The fourth proportional to 13,370.86, 20,056.29 and 6,440.50 is: 9,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,370.86 : 20,056.29 = 6,440.50 : x
  2. Step 2: Convert to fraction form
    13,370.86/20,056.29 = 6,440.50/x
  3. Step 3: Cross multiply
    13,370.86x = 20,056.29 × 6,440.50
  4. Step 4: Simplify right side
    13,370.86x = 129,172,535.75
  5. Step 5: Solve for x
    x = 129,172,535.75/13,370.86
  6. Step 6: Final answer
    x = 9,660.75

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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.