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Finding the Fourth Proportional to 23,892.96, 32,970.87 and 13,282.23

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Solution

The fourth proportional to 23,892.96, 32,970.87 and 13,282.23 is: 18,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.96 : 32,970.87 = 13,282.23 : x
  2. Step 2: Convert to fraction form
    23,892.96/32,970.87 = 13,282.23/x
  3. Step 3: Cross multiply
    23,892.96x = 32,970.87 × 13,282.23
  4. Step 4: Simplify right side
    23,892.96x = 437,926,678.64
  5. Step 5: Solve for x
    x = 437,926,678.64/23,892.96
  6. Step 6: Final answer
    x = 18,328.69

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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.