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Finding the Fourth Proportional to 12,199.19, 18,264.18 and 8,026.63

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Solution

The fourth proportional to 12,199.19, 18,264.18 and 8,026.63 is: 12,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.19 : 18,264.18 = 8,026.63 : x
  2. Step 2: Convert to fraction form
    12,199.19/18,264.18 = 8,026.63/x
  3. Step 3: Cross multiply
    12,199.19x = 18,264.18 × 8,026.63
  4. Step 4: Simplify right side
    12,199.19x = 146,599,876.60
  5. Step 5: Solve for x
    x = 146,599,876.60/12,199.19
  6. Step 6: Final answer
    x = 12,017.18

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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.