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Finding the Fourth Proportional to 11,105.40, 16,625.70 and 9,809.40

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Solution

The fourth proportional to 11,105.40, 16,625.70 and 9,809.40 is: 14,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.40 : 16,625.70 = 9,809.40 : x
  2. Step 2: Convert to fraction form
    11,105.40/16,625.70 = 9,809.40/x
  3. Step 3: Cross multiply
    11,105.40x = 16,625.70 × 9,809.40
  4. Step 4: Simplify right side
    11,105.40x = 163,088,141.58
  5. Step 5: Solve for x
    x = 163,088,141.58/11,105.40
  6. Step 6: Final answer
    x = 14,685.48

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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.