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Finding the Fourth Proportional to 15,722.86, 21,697.65 and 8,649.10

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Solution

The fourth proportional to 15,722.86, 21,697.65 and 8,649.10 is: 11,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.86 : 21,697.65 = 8,649.10 : x
  2. Step 2: Convert to fraction form
    15,722.86/21,697.65 = 8,649.10/x
  3. Step 3: Cross multiply
    15,722.86x = 21,697.65 × 8,649.10
  4. Step 4: Simplify right side
    15,722.86x = 187,665,144.62
  5. Step 5: Solve for x
    x = 187,665,144.62/15,722.86
  6. Step 6: Final answer
    x = 11,935.81

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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.