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Finding the Fourth Proportional to 21,359.12, 32,016 and 12,598.16

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Solution

The fourth proportional to 21,359.12, 32,016 and 12,598.16 is: 18,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,359.12 : 32,016 = 12,598.16 : x
  2. Step 2: Convert to fraction form
    21,359.12/32,016 = 12,598.16/x
  3. Step 3: Cross multiply
    21,359.12x = 32,016 × 12,598.16
  4. Step 4: Simplify right side
    21,359.12x = 403,342,690.56
  5. Step 5: Solve for x
    x = 403,342,690.56/21,359.12
  6. Step 6: Final answer
    x = 18,883.86

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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.