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Finding the Fourth Proportional to 13,785.22, 20,667.48 and 6,763.06

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Solution

The fourth proportional to 13,785.22, 20,667.48 and 6,763.06 is: 10,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.22 : 20,667.48 = 6,763.06 : x
  2. Step 2: Convert to fraction form
    13,785.22/20,667.48 = 6,763.06/x
  3. Step 3: Cross multiply
    13,785.22x = 20,667.48 × 6,763.06
  4. Step 4: Simplify right side
    13,785.22x = 139,775,407.29
  5. Step 5: Solve for x
    x = 139,775,407.29/13,785.22
  6. Step 6: Final answer
    x = 10,139.51

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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.