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Finding the Fourth Proportional to 24,083.28, 33,235.20 and 13,473

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Solution

The fourth proportional to 24,083.28, 33,235.20 and 13,473 is: 18,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,083.28 : 33,235.20 = 13,473 : x
  2. Step 2: Convert to fraction form
    24,083.28/33,235.20 = 13,473/x
  3. Step 3: Cross multiply
    24,083.28x = 33,235.20 × 13,473
  4. Step 4: Simplify right side
    24,083.28x = 447,777,849.60
  5. Step 5: Solve for x
    x = 447,777,849.60/24,083.28
  6. Step 6: Final answer
    x = 18,592.89

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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.