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Finding the Fourth Proportional to 15,723.88, 21,698.10 and 8,649.16

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Solution

The fourth proportional to 15,723.88, 21,698.10 and 8,649.16 is: 11,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723.88 : 21,698.10 = 8,649.16 : x
  2. Step 2: Convert to fraction form
    15,723.88/21,698.10 = 8,649.16/x
  3. Step 3: Cross multiply
    15,723.88x = 21,698.10 × 8,649.16
  4. Step 4: Simplify right side
    15,723.88x = 187,670,338.60
  5. Step 5: Solve for x
    x = 187,670,338.60/15,723.88
  6. Step 6: Final answer
    x = 11,935.37

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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.