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Finding the Fourth Proportional to 13,878.43, 19,154.10 and 7,829.90

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Solution

The fourth proportional to 13,878.43, 19,154.10 and 7,829.90 is: 10,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.43 : 19,154.10 = 7,829.90 : x
  2. Step 2: Convert to fraction form
    13,878.43/19,154.10 = 7,829.90/x
  3. Step 3: Cross multiply
    13,878.43x = 19,154.10 × 7,829.90
  4. Step 4: Simplify right side
    13,878.43x = 149,974,687.59
  5. Step 5: Solve for x
    x = 149,974,687.59/13,878.43
  6. Step 6: Final answer
    x = 10,806.32

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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.