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Finding the Fourth Proportional to 16,705.32, 23,042.28 and 10,744.56

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Solution

The fourth proportional to 16,705.32, 23,042.28 and 10,744.56 is: 14,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.32 : 23,042.28 = 10,744.56 : x
  2. Step 2: Convert to fraction form
    16,705.32/23,042.28 = 10,744.56/x
  3. Step 3: Cross multiply
    16,705.32x = 23,042.28 × 10,744.56
  4. Step 4: Simplify right side
    16,705.32x = 247,579,160.00
  5. Step 5: Solve for x
    x = 247,579,160.00/16,705.32
  6. Step 6: Final answer
    x = 14,820.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.