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Finding the Fourth Proportional to 13,707.02, 20,546.82 and 6,316.82

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Solution

The fourth proportional to 13,707.02, 20,546.82 and 6,316.82 is: 9,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.02 : 20,546.82 = 6,316.82 : x
  2. Step 2: Convert to fraction form
    13,707.02/20,546.82 = 6,316.82/x
  3. Step 3: Cross multiply
    13,707.02x = 20,546.82 × 6,316.82
  4. Step 4: Simplify right side
    13,707.02x = 129,790,563.51
  5. Step 5: Solve for x
    x = 129,790,563.51/13,707.02
  6. Step 6: Final answer
    x = 9,468.91

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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.