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Finding the Fourth Proportional to 19,822.40, 27,354.84 and 10,869.67

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Solution

The fourth proportional to 19,822.40, 27,354.84 and 10,869.67 is: 15,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.40 : 27,354.84 = 10,869.67 : x
  2. Step 2: Convert to fraction form
    19,822.40/27,354.84 = 10,869.67/x
  3. Step 3: Cross multiply
    19,822.40x = 27,354.84 × 10,869.67
  4. Step 4: Simplify right side
    19,822.40x = 297,338,083.70
  5. Step 5: Solve for x
    x = 297,338,083.70/19,822.40
  6. Step 6: Final answer
    x = 15,000.11

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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.