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Finding the Fourth Proportional to 13,677.45, 20,507.97 and 5,347.53

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Solution

The fourth proportional to 13,677.45, 20,507.97 and 5,347.53 is: 8,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.45 : 20,507.97 = 5,347.53 : x
  2. Step 2: Convert to fraction form
    13,677.45/20,507.97 = 5,347.53/x
  3. Step 3: Cross multiply
    13,677.45x = 20,507.97 × 5,347.53
  4. Step 4: Simplify right side
    13,677.45x = 109,666,984.81
  5. Step 5: Solve for x
    x = 109,666,984.81/13,677.45
  6. Step 6: Final answer
    x = 8,018.09

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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.