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Finding the Fourth Proportional to 13,225.30, 19,843.11 and 5,824.55

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Solution

The fourth proportional to 13,225.30, 19,843.11 and 5,824.55 is: 8,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.30 : 19,843.11 = 5,824.55 : x
  2. Step 2: Convert to fraction form
    13,225.30/19,843.11 = 5,824.55/x
  3. Step 3: Cross multiply
    13,225.30x = 19,843.11 × 5,824.55
  4. Step 4: Simplify right side
    13,225.30x = 115,577,214.12
  5. Step 5: Solve for x
    x = 115,577,214.12/13,225.30
  6. Step 6: Final answer
    x = 8,739.10

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Why These Related Problems?

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