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Finding the Fourth Proportional to 18,813, 25,962.84 and 10,429.50

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Solution

The fourth proportional to 18,813, 25,962.84 and 10,429.50 is: 14,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,813 : 25,962.84 = 10,429.50 : x
  2. Step 2: Convert to fraction form
    18,813/25,962.84 = 10,429.50/x
  3. Step 3: Cross multiply
    18,813x = 25,962.84 × 10,429.50
  4. Step 4: Simplify right side
    18,813x = 270,779,439.78
  5. Step 5: Solve for x
    x = 270,779,439.78/18,813
  6. Step 6: Final answer
    x = 14,393.21

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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.