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Finding the Fourth Proportional to 12,157.22, 16,765.80 and 7,673.24

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Solution

The fourth proportional to 12,157.22, 16,765.80 and 7,673.24 is: 10,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.22 : 16,765.80 = 7,673.24 : x
  2. Step 2: Convert to fraction form
    12,157.22/16,765.80 = 7,673.24/x
  3. Step 3: Cross multiply
    12,157.22x = 16,765.80 × 7,673.24
  4. Step 4: Simplify right side
    12,157.22x = 128,648,007.19
  5. Step 5: Solve for x
    x = 128,648,007.19/12,157.22
  6. Step 6: Final answer
    x = 10,582.03

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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.