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Finding the Fourth Proportional to 21,821.72, 30,113.97 and 11,885.72

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Solution

The fourth proportional to 21,821.72, 30,113.97 and 11,885.72 is: 16,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821.72 : 30,113.97 = 11,885.72 : x
  2. Step 2: Convert to fraction form
    21,821.72/30,113.97 = 11,885.72/x
  3. Step 3: Cross multiply
    21,821.72x = 30,113.97 × 11,885.72
  4. Step 4: Simplify right side
    21,821.72x = 357,926,215.51
  5. Step 5: Solve for x
    x = 357,926,215.51/21,821.72
  6. Step 6: Final answer
    x = 16,402.29

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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.