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Finding the Fourth Proportional to 13,213.64, 19,827.29 and 5,824.32

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Solution

The fourth proportional to 13,213.64, 19,827.29 and 5,824.32 is: 8,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.64 : 19,827.29 = 5,824.32 : x
  2. Step 2: Convert to fraction form
    13,213.64/19,827.29 = 5,824.32/x
  3. Step 3: Cross multiply
    13,213.64x = 19,827.29 × 5,824.32
  4. Step 4: Simplify right side
    13,213.64x = 115,480,421.90
  5. Step 5: Solve for x
    x = 115,480,421.90/13,213.64
  6. Step 6: Final answer
    x = 8,739.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.