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Finding the Fourth Proportional to 12,026.49, 16,579.09 and 8,430.24

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Solution

The fourth proportional to 12,026.49, 16,579.09 and 8,430.24 is: 11,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.49 : 16,579.09 = 8,430.24 : x
  2. Step 2: Convert to fraction form
    12,026.49/16,579.09 = 8,430.24/x
  3. Step 3: Cross multiply
    12,026.49x = 16,579.09 × 8,430.24
  4. Step 4: Simplify right side
    12,026.49x = 139,765,734.03
  5. Step 5: Solve for x
    x = 139,765,734.03/12,026.49
  6. Step 6: Final answer
    x = 11,621.49

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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.