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Finding the Fourth Proportional to 23,826.64, 32,880.48 and 13,216.16

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Solution

The fourth proportional to 23,826.64, 32,880.48 and 13,216.16 is: 18,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.64 : 32,880.48 = 13,216.16 : x
  2. Step 2: Convert to fraction form
    23,826.64/32,880.48 = 13,216.16/x
  3. Step 3: Cross multiply
    23,826.64x = 32,880.48 × 13,216.16
  4. Step 4: Simplify right side
    23,826.64x = 434,553,684.56
  5. Step 5: Solve for x
    x = 434,553,684.56/23,826.64
  6. Step 6: Final answer
    x = 18,238.14

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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.