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Finding the Fourth Proportional to 13,618.64, 18,785.21 and 8,574.14

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Solution

The fourth proportional to 13,618.64, 18,785.21 and 8,574.14 is: 11,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.64 : 18,785.21 = 8,574.14 : x
  2. Step 2: Convert to fraction form
    13,618.64/18,785.21 = 8,574.14/x
  3. Step 3: Cross multiply
    13,618.64x = 18,785.21 × 8,574.14
  4. Step 4: Simplify right side
    13,618.64x = 161,066,883.67
  5. Step 5: Solve for x
    x = 161,066,883.67/13,618.64
  6. Step 6: Final answer
    x = 11,826.95

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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.