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Finding the Fourth Proportional to 14,527, 21,787.99 and 3,853.43

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Solution

The fourth proportional to 14,527, 21,787.99 and 3,853.43 is: 5,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527 : 21,787.99 = 3,853.43 : x
  2. Step 2: Convert to fraction form
    14,527/21,787.99 = 3,853.43/x
  3. Step 3: Cross multiply
    14,527x = 21,787.99 × 3,853.43
  4. Step 4: Simplify right side
    14,527x = 83,958,494.31
  5. Step 5: Solve for x
    x = 83,958,494.31/14,527
  6. Step 6: Final answer
    x = 5,779.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.