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Finding the Fourth Proportional to 13,127.01, 19,676.34 and 6,468.14

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Solution

The fourth proportional to 13,127.01, 19,676.34 and 6,468.14 is: 9,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,127.01 : 19,676.34 = 6,468.14 : x
  2. Step 2: Convert to fraction form
    13,127.01/19,676.34 = 6,468.14/x
  3. Step 3: Cross multiply
    13,127.01x = 19,676.34 × 6,468.14
  4. Step 4: Simplify right side
    13,127.01x = 127,269,321.81
  5. Step 5: Solve for x
    x = 127,269,321.81/13,127.01
  6. Step 6: Final answer
    x = 9,695.23

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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.