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Finding the Fourth Proportional to 17,906.40, 24,705.18 and 10,734.84

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Solution

The fourth proportional to 17,906.40, 24,705.18 and 10,734.84 is: 14,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.40 : 24,705.18 = 10,734.84 : x
  2. Step 2: Convert to fraction form
    17,906.40/24,705.18 = 10,734.84/x
  3. Step 3: Cross multiply
    17,906.40x = 24,705.18 × 10,734.84
  4. Step 4: Simplify right side
    17,906.40x = 265,206,154.47
  5. Step 5: Solve for x
    x = 265,206,154.47/17,906.40
  6. Step 6: Final answer
    x = 14,810.69

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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.