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Finding the Fourth Proportional to 23,597.01, 32,563.85 and 12,986.64

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Solution

The fourth proportional to 23,597.01, 32,563.85 and 12,986.64 is: 17,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,597.01 : 32,563.85 = 12,986.64 : x
  2. Step 2: Convert to fraction form
    23,597.01/32,563.85 = 12,986.64/x
  3. Step 3: Cross multiply
    23,597.01x = 32,563.85 × 12,986.64
  4. Step 4: Simplify right side
    23,597.01x = 422,894,932.03
  5. Step 5: Solve for x
    x = 422,894,932.03/23,597.01
  6. Step 6: Final answer
    x = 17,921.55

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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.