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Finding the Fourth Proportional to 19,821.84, 27,354.98 and 10,869.69

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Solution

The fourth proportional to 19,821.84, 27,354.98 and 10,869.69 is: 15,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.84 : 27,354.98 = 10,869.69 : x
  2. Step 2: Convert to fraction form
    19,821.84/27,354.98 = 10,869.69/x
  3. Step 3: Cross multiply
    19,821.84x = 27,354.98 × 10,869.69
  4. Step 4: Simplify right side
    19,821.84x = 297,340,098.21
  5. Step 5: Solve for x
    x = 297,340,098.21/19,821.84
  6. Step 6: Final answer
    x = 15,000.63

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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.