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Finding the Fourth Proportional to 13,464.48, 20,186.76 and 6,534

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Solution

The fourth proportional to 13,464.48, 20,186.76 and 6,534 is: 9,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.48 : 20,186.76 = 6,534 : x
  2. Step 2: Convert to fraction form
    13,464.48/20,186.76 = 6,534/x
  3. Step 3: Cross multiply
    13,464.48x = 20,186.76 × 6,534
  4. Step 4: Simplify right side
    13,464.48x = 131,900,289.84
  5. Step 5: Solve for x
    x = 131,900,289.84/13,464.48
  6. Step 6: Final answer
    x = 9,796.17

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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.