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Finding the Fourth Proportional to 21,497.64, 32,201.02 and 13,596.09

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Solution

The fourth proportional to 21,497.64, 32,201.02 and 13,596.09 is: 20,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.64 : 32,201.02 = 13,596.09 : x
  2. Step 2: Convert to fraction form
    21,497.64/32,201.02 = 13,596.09/x
  3. Step 3: Cross multiply
    21,497.64x = 32,201.02 × 13,596.09
  4. Step 4: Simplify right side
    21,497.64x = 437,807,966.01
  5. Step 5: Solve for x
    x = 437,807,966.01/21,497.64
  6. Step 6: Final answer
    x = 20,365.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.