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Finding the Fourth Proportional to 16,559.42, 22,851.96 and 9,485.84

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Solution

The fourth proportional to 16,559.42, 22,851.96 and 9,485.84 is: 13,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,559.42 : 22,851.96 = 9,485.84 : x
  2. Step 2: Convert to fraction form
    16,559.42/22,851.96 = 9,485.84/x
  3. Step 3: Cross multiply
    16,559.42x = 22,851.96 × 9,485.84
  4. Step 4: Simplify right side
    16,559.42x = 216,770,036.25
  5. Step 5: Solve for x
    x = 216,770,036.25/16,559.42
  6. Step 6: Final answer
    x = 13,090.44

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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.