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Finding the Fourth Proportional to 16,649.10, 22,970.16 and 10,986.66

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Solution

The fourth proportional to 16,649.10, 22,970.16 and 10,986.66 is: 15,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.10 : 22,970.16 = 10,986.66 : x
  2. Step 2: Convert to fraction form
    16,649.10/22,970.16 = 10,986.66/x
  3. Step 3: Cross multiply
    16,649.10x = 22,970.16 × 10,986.66
  4. Step 4: Simplify right side
    16,649.10x = 252,365,338.07
  5. Step 5: Solve for x
    x = 252,365,338.07/16,649.10
  6. Step 6: Final answer
    x = 15,157.90

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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.