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Finding the Fourth Proportional to 13,874.40, 19,141.20 and 7,823.28

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Solution

The fourth proportional to 13,874.40, 19,141.20 and 7,823.28 is: 10,793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.40 : 19,141.20 = 7,823.28 : x
  2. Step 2: Convert to fraction form
    13,874.40/19,141.20 = 7,823.28/x
  3. Step 3: Cross multiply
    13,874.40x = 19,141.20 × 7,823.28
  4. Step 4: Simplify right side
    13,874.40x = 149,746,967.14
  5. Step 5: Solve for x
    x = 149,746,967.14/13,874.40
  6. Step 6: Final answer
    x = 10,793.04

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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.