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Finding the Fourth Proportional to 13,535.40, 18,656.37 and 9,057.54

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Solution

The fourth proportional to 13,535.40, 18,656.37 and 9,057.54 is: 12,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.40 : 18,656.37 = 9,057.54 : x
  2. Step 2: Convert to fraction form
    13,535.40/18,656.37 = 9,057.54/x
  3. Step 3: Cross multiply
    13,535.40x = 18,656.37 × 9,057.54
  4. Step 4: Simplify right side
    13,535.40x = 168,980,817.53
  5. Step 5: Solve for x
    x = 168,980,817.53/13,535.40
  6. Step 6: Final answer
    x = 12,484.36

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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.