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Finding the Fourth Proportional to 13,525.56, 18,665.16 and 8,219.40

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Solution

The fourth proportional to 13,525.56, 18,665.16 and 8,219.40 is: 11,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.56 : 18,665.16 = 8,219.40 : x
  2. Step 2: Convert to fraction form
    13,525.56/18,665.16 = 8,219.40/x
  3. Step 3: Cross multiply
    13,525.56x = 18,665.16 × 8,219.40
  4. Step 4: Simplify right side
    13,525.56x = 153,416,416.10
  5. Step 5: Solve for x
    x = 153,416,416.10/13,525.56
  6. Step 6: Final answer
    x = 11,342.70

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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.