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Finding the Fourth Proportional to 13,534.66, 18,679.87 and 8,228.45

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Solution

The fourth proportional to 13,534.66, 18,679.87 and 8,228.45 is: 11,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.66 : 18,679.87 = 8,228.45 : x
  2. Step 2: Convert to fraction form
    13,534.66/18,679.87 = 8,228.45/x
  3. Step 3: Cross multiply
    13,534.66x = 18,679.87 × 8,228.45
  4. Step 4: Simplify right side
    13,534.66x = 153,706,376.30
  5. Step 5: Solve for x
    x = 153,706,376.30/13,534.66
  6. Step 6: Final answer
    x = 11,356.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.