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Finding the Fourth Proportional to 12,733.40, 19,100.06 and 7,184.20

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Solution

The fourth proportional to 12,733.40, 19,100.06 and 7,184.20 is: 10,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.40 : 19,100.06 = 7,184.20 : x
  2. Step 2: Convert to fraction form
    12,733.40/19,100.06 = 7,184.20/x
  3. Step 3: Cross multiply
    12,733.40x = 19,100.06 × 7,184.20
  4. Step 4: Simplify right side
    12,733.40x = 137,218,651.05
  5. Step 5: Solve for x
    x = 137,218,651.05/12,733.40
  6. Step 6: Final answer
    x = 10,776.28

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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.