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Finding the Fourth Proportional to 13,225.86, 19,829.07 and 6,305.22

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Solution

The fourth proportional to 13,225.86, 19,829.07 and 6,305.22 is: 9,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.86 : 19,829.07 = 6,305.22 : x
  2. Step 2: Convert to fraction form
    13,225.86/19,829.07 = 6,305.22/x
  3. Step 3: Cross multiply
    13,225.86x = 19,829.07 × 6,305.22
  4. Step 4: Simplify right side
    13,225.86x = 125,026,648.75
  5. Step 5: Solve for x
    x = 125,026,648.75/13,225.86
  6. Step 6: Final answer
    x = 9,453.20

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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.