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Finding the Fourth Proportional to 12,259.40, 16,919.21 and 7,225.24

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Solution

The fourth proportional to 12,259.40, 16,919.21 and 7,225.24 is: 9,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.40 : 16,919.21 = 7,225.24 : x
  2. Step 2: Convert to fraction form
    12,259.40/16,919.21 = 7,225.24/x
  3. Step 3: Cross multiply
    12,259.40x = 16,919.21 × 7,225.24
  4. Step 4: Simplify right side
    12,259.40x = 122,245,310.79
  5. Step 5: Solve for x
    x = 122,245,310.79/12,259.40
  6. Step 6: Final answer
    x = 9,971.56

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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.