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Finding the Fourth Proportional to 11,756.23, 17,698.50 and 10,722.87

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Solution

The fourth proportional to 11,756.23, 17,698.50 and 10,722.87 is: 16,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.23 : 17,698.50 = 10,722.87 : x
  2. Step 2: Convert to fraction form
    11,756.23/17,698.50 = 10,722.87/x
  3. Step 3: Cross multiply
    11,756.23x = 17,698.50 × 10,722.87
  4. Step 4: Simplify right side
    11,756.23x = 189,778,714.70
  5. Step 5: Solve for x
    x = 189,778,714.70/11,756.23
  6. Step 6: Final answer
    x = 16,142.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.