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Finding the Fourth Proportional to 23,892.98, 32,972.36 and 13,282.64

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Solution

The fourth proportional to 23,892.98, 32,972.36 and 13,282.64 is: 18,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.98 : 32,972.36 = 13,282.64 : x
  2. Step 2: Convert to fraction form
    23,892.98/32,972.36 = 13,282.64/x
  3. Step 3: Cross multiply
    23,892.98x = 32,972.36 × 13,282.64
  4. Step 4: Simplify right side
    23,892.98x = 437,959,987.83
  5. Step 5: Solve for x
    x = 437,959,987.83/23,892.98
  6. Step 6: Final answer
    x = 18,330.07

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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.