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Finding the Fourth Proportional to 24,294.46, 33,525.75 and 13,683.46

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Solution

The fourth proportional to 24,294.46, 33,525.75 and 13,683.46 is: 18,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294.46 : 33,525.75 = 13,683.46 : x
  2. Step 2: Convert to fraction form
    24,294.46/33,525.75 = 13,683.46/x
  3. Step 3: Cross multiply
    24,294.46x = 33,525.75 × 13,683.46
  4. Step 4: Simplify right side
    24,294.46x = 458,748,259.10
  5. Step 5: Solve for x
    x = 458,748,259.10/24,294.46
  6. Step 6: Final answer
    x = 18,882.83

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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.