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Finding the Fourth Proportional to 13,720.83, 20,565.71 and 6,309.99

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Solution

The fourth proportional to 13,720.83, 20,565.71 and 6,309.99 is: 9,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.83 : 20,565.71 = 6,309.99 : x
  2. Step 2: Convert to fraction form
    13,720.83/20,565.71 = 6,309.99/x
  3. Step 3: Cross multiply
    13,720.83x = 20,565.71 × 6,309.99
  4. Step 4: Simplify right side
    13,720.83x = 129,769,440.22
  5. Step 5: Solve for x
    x = 129,769,440.22/13,720.83
  6. Step 6: Final answer
    x = 9,457.84

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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.