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Finding the Fourth Proportional to 23,892.66, 32,971.59 and 13,282.05

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Solution

The fourth proportional to 23,892.66, 32,971.59 and 13,282.05 is: 18,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.66 : 32,971.59 = 13,282.05 : x
  2. Step 2: Convert to fraction form
    23,892.66/32,971.59 = 13,282.05/x
  3. Step 3: Cross multiply
    23,892.66x = 32,971.59 × 13,282.05
  4. Step 4: Simplify right side
    23,892.66x = 437,930,306.96
  5. Step 5: Solve for x
    x = 437,930,306.96/23,892.66
  6. Step 6: Final answer
    x = 18,329.07

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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.